a. Answer h ( − 2 ) = 1 h ( 0 ) = − 1 h ( 2 ) = 3 h ( 3 ) = 4 Explanation Given information : the graph of function h is provided, Graph : Interpretation: In the graph, the value of h ( − 2 ) is the corresponding y- value at x = − 2 , that is, h ( − 2 ) = 1 Similarly, the corresponding y -values for, h ( 0 ) at x = 0 is − 1 h ( 2 ) at x = 2 is 3 h ( 3 ) at x = 3 is 4 Hence, h ( − 2 ) = 1 h ( 0 ) = − 1 h ( 2 ) = 3 h ( 3 ) = 4 b. To determine To calculate : the domain and the range of the provided graph Answer The domain and range of h is [-3,4] and [-1,4], respectively. Explanation Given information : the graph of function h is provided, Graph : Interpretation: The domain of the function h is all the ix-values of the points on the graph, and the range is all the corresponding y -values. From the graph of h , we see that the domain of h is the interval [-3, 4] and the range of h is the interval [-1, 4]. Hence, the domain and range of h is [-3,4] and [-1,4], respectively. c. To determine To calculate : the value of x for which h ( x ) = 3 Answer the value of x for which h ( x ) = 3 is Explanation Given information : the graph of function h is provided, Graph: Calculation : The function value of h ( a ) from the graph of h , is the height of the graph above the x -axis at x = a , Therefore, h ( x ) = 3 is the x -value on the x -axis where the height above it is 3, that are, h ( − 3 ) = 3 h ( 2 ) = 3 h ( 4 ) = 3 Hence, the value of x for which h ( x ) = 3 is − 3 , 2 , 4 . d. To determine To calculate : the values for h ( x ) ≤ 3 Answer the values of x for are and x = 4 Explanation Given information : the graph of function h is provided, Calculation : When h ( x ) ≤ 3 is expressed in words it means, h ( x ) is less than equal to 3. From part c., h ( − 3 ) = 3 h ( 2 ) = 3 h ( 4 ) = 3 Therefore, the x-values from the graph for h ( x ) ≤ 3 , h ( − 3 ) , h ( − 2 ) , h ( − 1 ) , h ( 0 ) , h ( 2 ) , h ( 4 ) Hence, the values of x for h ( x ) ≤ 3 are − 3 ≤ x ≤ 2 and x = 4

6th Edition

ISBN: 9781133715047

Author: Watson

Publisher: YUZU

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Chapter 2.3, Problem 5E

To determine

To calculate: the values of h(−2),h(0),h(2) and h(3)

Expert Solution

Answer to Problem 5E

h(−2)=1h(0)=−1h(2)=3h(3)=4

Explanation of Solution

Given information: the graph of function h is provided,

EBK PRECALCULUS: MATHEMATICS FOR CALCUL, Chapter 2.3, Problem 5E , additional homework tip 1

Graph:

EBK PRECALCULUS: MATHEMATICS FOR CALCUL, Chapter 2.3, Problem 5E , additional homework tip 2

Interpretation:

In the graph, the value of h(−2) is the corresponding y- value at x = −2 , that is,

h(−2)=1

Similarly, the corresponding y -values for,

h(0) at x = 0 is −1

h(2) at x = 2 is 3

h(3) at x = 3 is 4

Hence,

h(−2)=1h(0)=−1h(2)=3h(3)=4

To determine

To calculate: the domain and the range of the provided graph

Expert Solution

Answer to Problem 5E

The domain and range of h is [-3,4] and [-1,4], respectively.

Explanation of Solution

Given information: the graph of function h is provided,

EBK PRECALCULUS: MATHEMATICS FOR CALCUL, Chapter 2.3, Problem 5E , additional homework tip 3

Graph:

EBK PRECALCULUS: MATHEMATICS FOR CALCUL, Chapter 2.3, Problem 5E , additional homework tip 4

Interpretation:

The domain of the function h is all the ix-values of the points on the graph, and the range is all the corresponding y -values.

From the graph of h , we see that the domain of h is the interval [-3, 4] and the range of h is the interval [-1, 4].

Hence, the domain and range of h is [-3,4] and [-1,4], respectively.

To determine

To calculate: the value of x for which h ( x ) = 3

Expert Solution

Answer to Problem 5E

the value of x for which h ( x ) = 3 is EBK PRECALCULUS: MATHEMATICS FOR CALCUL, Chapter 2.3, Problem 5E , additional homework tip 5

Explanation of Solution

Given information: the graph of function h is provided,

EBK PRECALCULUS: MATHEMATICS FOR CALCUL, Chapter 2.3, Problem 5E , additional homework tip 6

Graph:

EBK PRECALCULUS: MATHEMATICS FOR CALCUL, Chapter 2.3, Problem 5E , additional homework tip 7

Calculation:

The function value of h ( a ) from the graph of h , is the height of the graph above the x -axis at x = a ,

Therefore, h ( x ) = 3 is the x -value on the x -axis where the height above it is 3, that are,

h(−3)=3h(2)=3h(4)=3

Hence, the value of x for which h ( x ) = 3 is −3,2,4 .

To determine

To calculate: the values for h(x)≤3

Expert Solution

Answer to Problem 5E

the values of x for EBK PRECALCULUS: MATHEMATICS FOR CALCUL, Chapter 2.3, Problem 5E , additional homework tip 8 are and x = 4

Explanation of Solution

Given information: the graph of function h is provided,

EBK PRECALCULUS: MATHEMATICS FOR CALCUL, Chapter 2.3, Problem 5E , additional homework tip 10

Calculation:

When h(x)≤3 is expressed in words it means, h ( x ) is less than equal to 3. From part c.,

h(−3)=3h(2)=3h(4)=3

Therefore, the x-values from the graph for h(x)≤3 ,

h(−3),h(−2),h(−1),h(0),h(2),h(4)

Hence, the values of x for h(x)≤3 are −3≤x≤2 and x = 4

Chapter 2.3, Problem 4E

Chapter 2.3, Problem 6E

Chapter 2 Solutions

EBK PRECALCULUS: MATHEMATICS FOR CALCUL

Ch. 2.1 - Prob. 1E Ch. 2.1 - For a function f, the set of all possible inputs...Ch. 2.1 - (a) Which of the following functions have 5 in...Ch. 2.1 - A function is given algebraically by the formula...Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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Prob. 27E Ch. 2.4 - Book Collection Between 1980 and 2000 a rare book...Ch. 2.4 - Cooling Soup When a bowl of hot soup is left in a...Ch. 2.4 - Farms in the United States The graph gives the...Ch. 2.4 - Prob. 31E Ch. 2.4 - Prob. 32E Ch. 2.4 - Prob. 33E Ch. 2.5 - Fill in the blank with the appropriate direction...Ch. 2.5 - Prob. 2E Ch. 2.5 - Prob. 3E Ch. 2.5 - Prob. 4E Ch. 2.5 - Prob. 5E Ch. 2.5 - Prob. 6E Ch. 2.5 - Prob. 7E Ch. 2.5 - Prob. 8E Ch. 2.5 - Prob. 9E Ch. 2.5 - Prob. 10E Ch. 2.5 - Prob. 11E Ch. 2.5 - Prob. 12E Ch. 2.5 - Prob. 13E Ch. 2.5 - Prob. 14E Ch. 2.5 - Prob. 15E Ch. 2.5 - Prob. 16E Ch. 2.5 - Prob. 17E Ch. 2.5 - Prob. 18E Ch. 2.5 - Prob. 19E Ch. 2.5 - Prob. 20E Ch. 2.5 - Prob. 21E Ch. 2.5 - Prob. 22E Ch. 2.5 - Prob. 23E Ch. 2.5 - Prob. 24E Ch. 2.5 - Prob. 25E Ch. 2.5 - Prob. 26E Ch. 2.5 - Prob. 27E Ch. 2.5 - Prob. 28E Ch. 2.5 - Prob. 29E Ch. 2.5 - Prob. 30E Ch. 2.5 - Prob. 31E Ch. 2.5 - Prob. 32E Ch. 2.5 - Prob. 33E Ch. 2.5 - Prob. 34E Ch. 2.5 - Prob. 35E Ch. 2.5 - Prob. 36E Ch. 2.5 - 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Prob. 87E Ch. 2.5 - Prob. 88E Ch. 2.5 - Prob. 89E Ch. 2.5 - Prob. 90E Ch. 2.5 - Prob. 91E Ch. 2.5 - Prob. 92E Ch. 2.5 - Prob. 93E Ch. 2.6 - From the graphs of f and g in the figure, we find...Ch. 2.6 - By definition, (f g)(x) = _____. So if g(2) = 5...Ch. 2.6 - If the rule of the function f is add one and the...Ch. 2.6 - We can express the functions in Exercise 3...Ch. 2.6 - Prob. 5E Ch. 2.6 - Prob. 6E Ch. 2.6 - Prob. 7E Ch. 2.6 - Prob. 8E Ch. 2.6 - Prob. 9E Ch. 2.6 - Prob. 10E Ch. 2.6 - Prob. 11E Ch. 2.6 - Prob. 12E Ch. 2.6 - Prob. 13E Ch. 2.6 - Prob. 14E Ch. 2.6 - Prob. 15E Ch. 2.6 - Prob. 16E Ch. 2.6 - Prob. 17E Ch. 2.6 - Prob. 18E Ch. 2.6 - Prob. 19E Ch. 2.6 - Prob. 20E Ch. 2.6 - Prob. 21E Ch. 2.6 - Prob. 22E Ch. 2.6 - Prob. 23E Ch. 2.6 - Prob. 24E Ch. 2.6 - Prob. 25E Ch. 2.6 - Prob. 26E Ch. 2.6 - Prob. 27E Ch. 2.6 - Prob. 28E Ch. 2.6 - Prob. 29E Ch. 2.6 - Prob. 30E Ch. 2.6 - Prob. 31E Ch. 2.6 - Prob. 32E Ch. 2.6 - Prob. 33E Ch. 2.6 - Prob. 34E Ch. 2.6 - Prob. 35E Ch. 2.6 - Prob. 36E Ch. 2.6 - Prob. 37E Ch. 2.6 - Prob. 38E Ch. 2.6 - Prob. 39E Ch. 2.6 - Prob. 40E Ch. 2.6 - Prob. 41E Ch. 2.6 - Prob. 42E Ch. 2.6 - Prob. 43E Ch. 2.6 - Prob. 44E Ch. 2.6 - Prob. 45E Ch. 2.6 - Prob. 46E Ch. 2.6 - Prob. 47E Ch. 2.6 - Prob. 48E Ch. 2.6 - Prob. 49E Ch. 2.6 - Prob. 50E Ch. 2.6 - Prob. 51E Ch. 2.6 - Prob. 52E Ch. 2.6 - Prob. 53E Ch. 2.6 - Prob. 54E Ch. 2.6 - Prob. 55E Ch. 2.6 - Prob. 56E Ch. 2.6 - Prob. 57E Ch. 2.6 - Prob. 58E Ch. 2.6 - Prob. 59E Ch. 2.6 - Revenue, Cost, and Profit A print shop makes...Ch. 2.6 - Area of a Ripple A stone is dropped in a lake,...Ch. 2.6 - Inflating a Balloon A spherical balloon is being...Ch. 2.6 - Area of a Balloon A spherical weather balloon is...Ch. 2.6 - Multiple Discounts You have a 50 coupon from the...Ch. 2.6 - Multiple Discounts An appliance dealer advertises...Ch. 2.6 - Airplane Trajectory An airplane is flying at a...Ch. 2.6 - Prob. 67E Ch. 2.6 - Prob. 68E Ch. 2.6 - Prob. 69E Ch. 2.6 - Prob. 70E Ch. 2.7 - A function f is one-to-one if different inputs...Ch. 2.7 - (a) For a function to have an inverse, it must be...Ch. 2.7 - A function f has the following verbal description:...Ch. 2.7 - True or false? (a) If f has an inverse, then f1(x)...Ch. 2.7 - Prob. 5E Ch. 2.7 - Prob. 6E Ch. 2.7 - Prob. 7E Ch. 2.7 - Prob. 8E Ch. 2.7 - Prob. 9E Ch. 2.7 - Prob. 10E Ch. 2.7 - Prob. 11E Ch. 2.7 - Prob. 12E Ch. 2.7 - Prob. 13E Ch. 2.7 - Prob. 14E Ch. 2.7 - Prob. 15E Ch. 2.7 - Prob. 16E Ch. 2.7 - Prob. 17E Ch. 2.7 - Prob. 18E Ch. 2.7 - Prob. 19E Ch. 2.7 - Prob. 20E Ch. 2.7 - Prob. 21E Ch. 2.7 - Prob. 22E Ch. 2.7 - Prob. 23E Ch. 2.7 - Prob. 24E Ch. 2.7 - Prob. 25E Ch. 2.7 - Prob. 26E Ch. 2.7 - Prob. 27E Ch. 2.7 - Prob. 28E Ch. 2.7 - Prob. 29E Ch. 2.7 - Prob. 30E Ch. 2.7 - Prob. 31E Ch. 2.7 - Prob. 32E Ch. 2.7 - Prob. 33E Ch. 2.7 - Prob. 34E Ch. 2.7 - Prob. 35E Ch. 2.7 - Prob. 36E Ch. 2.7 - Prob. 37E Ch. 2.7 - Prob. 38E Ch. 2.7 - Prob. 39E Ch. 2.7 - Prob. 40E Ch. 2.7 - Prob. 41E Ch. 2.7 - Prob. 42E Ch. 2.7 - Prob. 43E Ch. 2.7 - Prob. 44E Ch. 2.7 - Prob. 45E Ch. 2.7 - Prob. 46E Ch. 2.7 - Prob. 47E Ch. 2.7 - Prob. 48E Ch. 2.7 - Prob. 49E Ch. 2.7 - Prob. 50E Ch. 2.7 - Prob. 51E Ch. 2.7 - Prob. 52E Ch. 2.7 - Prob. 53E Ch. 2.7 - Prob. 54E Ch. 2.7 - Prob. 55E Ch. 2.7 - Prob. 56E Ch. 2.7 - Prob. 57E Ch. 2.7 - Prob. 58E Ch. 2.7 - Prob. 59E Ch. 2.7 - Prob. 60E Ch. 2.7 - Prob. 61E Ch. 2.7 - Prob. 62E Ch. 2.7 - Prob. 63E Ch. 2.7 - Prob. 64E Ch. 2.7 - Prob. 65E Ch. 2.7 - Prob. 66E Ch. 2.7 - Prob. 67E Ch. 2.7 - Prob. 68E Ch. 2.7 - Prob. 69E Ch. 2.7 - Prob. 70E Ch. 2.7 - Prob. 71E Ch. 2.7 - Prob. 72E Ch. 2.7 - Prob. 73E Ch. 2.7 - Prob. 74E Ch. 2.7 - Prob. 75E Ch. 2.7 - Prob. 76E Ch. 2.7 - Prob. 77E Ch. 2.7 - Prob. 78E Ch. 2.7 - Prob. 79E Ch. 2.7 - Prob. 80E Ch. 2.7 - Fee for Service For his services, a private...Ch. 2.7 - Prob. 82E Ch. 2.7 - Prob. 83E Ch. 2.7 - Prob. 84E Ch. 2.7 - Prob. 85E Ch. 2.7 - Prob. 86E Ch. 2.7 - Income Tax In a certain country the tax on incomes...Ch. 2.7 - Prob. 88E Ch. 2.7 - Prob. 89E Ch. 2.7 - Prob. 90E Ch. 2.7 - Prob. 91E Ch. 2.7 - Prob. 92E Ch. 2.7 - Prob. 93E Ch. 2 - Prob. 1RCC Ch. 2 - Prob. 2RCC Ch. 2 - Prob. 3RCC Ch. 2 - Prob. 4RCC Ch. 2 - Prob. 5RCC Ch. 2 - Prob. 6RCC Ch. 2 - Prob. 7RCC Ch. 2 - Prob. 8RCC Ch. 2 - Prob. 9RCC Ch. 2 - Prob. 10RCC Ch. 2 - Prob. 11RCC Ch. 2 - Prob. 12RCC Ch. 2 - Prob. 1RE Ch. 2 - Prob. 2RE Ch. 2 - Prob. 3RE Ch. 2 - Prob. 4RE Ch. 2 - Prob. 5RE Ch. 2 - Prob. 6RE Ch. 2 - Prob. 7RE Ch. 2 - Prob. 8RE Ch. 2 - Prob. 9RE Ch. 2 - Prob. 10RE Ch. 2 - Prob. 11RE Ch. 2 - Prob. 12RE Ch. 2 - Prob. 13RE Ch. 2 - Prob. 14RE Ch. 2 - Prob. 15RE Ch. 2 - Prob. 16RE Ch. 2 - Prob. 17RE Ch. 2 - Prob. 18RE Ch. 2 - Prob. 19RE Ch. 2 - Prob. 20RE Ch. 2 - Prob. 21RE Ch. 2 - Prob. 22RE Ch. 2 - Prob. 23RE Ch. 2 - Prob. 24RE Ch. 2 - Prob. 25RE Ch. 2 - Prob. 26RE Ch. 2 - Prob. 27RE Ch. 2 - Prob. 28RE Ch. 2 - Prob. 29RE Ch. 2 - Prob. 30RE Ch. 2 - Prob. 31RE Ch. 2 - Prob. 32RE Ch. 2 - Prob. 33RE Ch. 2 - Prob. 34RE Ch. 2 - Prob. 35RE Ch. 2 - Prob. 36RE Ch. 2 - Prob. 37RE Ch. 2 - Prob. 38RE Ch. 2 - Prob. 39RE Ch. 2 - Prob. 40RE Ch. 2 - Prob. 41RE Ch. 2 - Prob. 42RE Ch. 2 - Prob. 43RE Ch. 2 - Prob. 44RE Ch. 2 - Prob. 45RE Ch. 2 - Prob. 46RE Ch. 2 - Prob. 47RE Ch. 2 - Prob. 48RE Ch. 2 - Prob. 49RE Ch. 2 - Prob. 50RE Ch. 2 - Prob. 51RE Ch. 2 - Prob. 52RE Ch. 2 - Prob. 53RE Ch. 2 - Prob. 54RE Ch. 2 - Prob. 55RE Ch. 2 - Prob. 56RE Ch. 2 - Prob. 57RE Ch. 2 - Prob. 58RE Ch. 2 - Prob. 59RE Ch. 2 - Prob. 60RE Ch. 2 - Prob. 61RE Ch. 2 - Prob. 62RE Ch. 2 - Prob. 63RE Ch. 2 - Prob. 64RE Ch. 2 - Prob. 65RE Ch. 2 - Prob. 66RE Ch. 2 - Prob. 67RE Ch. 2 - Prob. 68RE Ch. 2 - Prob. 69RE Ch. 2 - Prob. 70RE Ch. 2 - Prob. 71RE Ch. 2 - Prob. 72RE Ch. 2 - Prob. 73RE Ch. 2 - Prob. 74RE Ch. 2 - Prob. 75RE Ch. 2 - Prob. 76RE Ch. 2 - Prob. 77RE Ch. 2 - Prob. 78RE Ch. 2 - Prob. 79RE Ch. 2 - Prob. 80RE Ch. 2 - Prob. 81RE Ch. 2 - Prob. 82RE Ch. 2 - Prob. 83RE Ch. 2 - Prob. 84RE Ch. 2 - Prob. 85RE Ch. 2 - Prob. 86RE Ch. 2 - Prob. 87RE Ch. 2 - Prob. 88RE Ch. 2 - Prob. 89RE Ch. 2 - Prob. 90RE Ch. 2 - Prob. 91RE Ch. 2 - Prob. 92RE Ch. 2 - Prob. 1T Ch. 2 - Prob. 2T Ch. 2 - A function f has the following verbal description:...Ch. 2 - A school fund-raising group sells chocolate bars...Ch. 2 - Prob. 5T Ch. 2 - Prob. 6T Ch. 2 - Prob. 7T Ch. 2 - Prob. 8T Ch. 2 - Prob. 9T Ch. 2 - Prob. 10T Ch. 2 - Prob. 11T Ch. 2 - Prob. 12T Ch. 2 - Prob. 1P Ch. 2 - Prob. 2P Ch. 2 - Prob. 3P Ch. 2 - Prob. 4P Ch. 2 - Prob. 5P Ch. 2 - Prob. 6P Ch. 2 - Prob. 7P Ch. 2 - Prob. 8P Ch. 2 - Prob. 9P Ch. 2 - Prob. 10P Ch. 2 - Prob. 11P Ch. 2 - Length A woman 5 ft tall is standing near a street...Ch. 2 - Distance Two ships leave port at the same time....Ch. 2 - Prob. 14P Ch. 2 - Area An isosceles triangle has a perimeter of 8...Ch. 2 - Prob. 16P Ch. 2 - Area A rectangle is inscribed in a semicircle of...Ch. 2 - Height The volume of a cone is 100 in3. Find a...Ch. 2 - Prob. 19P Ch. 2 - Minimizing a Sum Find two positive numbers whose...Ch. 2 - Prob. 21P Ch. 2 - Dividing a Pen A rancher with 750 ft of fencing...Ch. 2 - Fencing a Garden Plot A property owner wants to...Ch. 2 - Maximizing Area A wire 10 cm long is cut into two...Ch. 2 - Light from a Window A Norman window has the shape...Ch. 2 - Volume of a Box A box with an open top is to be...Ch. 2 - Area of a Box An open box with a square base is to...Ch. 2 - Inscribed Rectangle Find the dimensions that give...Ch. 2 - Minimizing Costs A rancher wants to build a...Ch. 2 - Minimizing Time A man stands at a point A on the...Ch. 2 - Bird Flight A bird is released from point A on an...Ch. 2 - Area of a Kite A kite frame is to be made from six...

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