Explanation Given: The function is x and 2 − x . Formula used: Domain: In the graph, domain consists of all input values shown on the x − axis. Range: In the graph, co-domain consists of all output values shown on the y − axis. Calculation: The function is x and 2 − x . We can write as: f ( x ) = max { x , 2 − x } Draw the graph for the function f ( x ) = x and f ( x ) = 2 − x . Choose values greater than 1, x will be greater than 2 − x . Choose values less than 1, x will be greater than x . f ( x ) = { x : x ≥ 1 2 − x : x < 1 First, find the point of f ( x ) = x . We can rewrite it as: y = x Put x = 1 in the given function. y = x = 1 Put x = 2 in the given function. y = x = 2 The points are: x 1 2 y 1 2 First, find the point of f ( x ) = 2 − x

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 1.1, Problem 83E

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Find f(x) to be the larger of x and 2−x. Draw the graph of f. Find its domain and range. Also, express f(x) in terms of the absolute value function.

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Chapter 1.1, Problem 82E

Chapter 1.1, Problem 84E

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2. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.4.006.MI. Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 7y2 y² 11 dy Need Help? Read It Master It SUBMIT ANSWER 3. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.4.009. Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) tan³(12/z) dz Need Help? Read It Watch It SUBMIT ANSWER 4. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.4.014. Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 5 sinб12x dx Need Help? Read It

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y"-9y+20y= 80t-156 y(0) = −6, y'(0) = 5 y(t) =

Chapter 1 Solutions

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Find f ( x ) to be the larger of x and 2 − x . Draw the graph of f . Find its domain and range. Also, express f ( x ) in terms of the absolute value function.

Solution Summary: The author explains the function f(x) and its domain, range, and absolute value.

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Find f(x) to be the larger of x and 2−x. Draw the graph of f. Find its domain and range. Also, express f(x) in terms of the absolute value function.

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Chapter 1 Solutions