hat Let us check how much you know about functions and their graphs. Direction: Choose the letter of the best answer and write this on your answer sheet. 1) Given f(x) = 2x- 5 & g(x) = a. 11- 6х b. 6x2-7x 20 = 3x + 4, solve for (g of)x). C. 6x - 11 d. 6x2 - 23x - 20 %3D 2) Given y = 3x +7, what is f(-2)? C. -13 d. 13 a. b. -1 3) The composite function denoted by fog is defined as a. (fog)(x) =f(g(x)) b. (fo g)(x) = g(f(x)) c. (f o g)(x) = f (x)•g(x) d. (fog)(x) = g(x)•f(x) 4) It is a set of ordered pairs (x, y) such that no two ordered pairs have the same X- value but different y-values. a. relation b. function C. domain d. range 5) What is the domain of the equation y = 3x2 - 4x? a. (x:x E R,x <-1} b. {x:x E R, x # 1} c. {x:x E R} d. {x: x E R, x 24}

hat Let us check how much you know about functions and their graphs. Direction: Choose the letter of the best answer and write this on your answer sheet. 1) Given f(x) = 2x- 5 & g(x) = a. 11- 6х b. 6x2-7x 20 = 3x + 4, solve for (g of)x). C. 6x - 11 d. 6x2 - 23x - 20 %3D 2) Given y = 3x +7, what is f(-2)? C. -13 d. 13 a. b. -1 3) The composite function denoted by fog is defined as a. (fog)(x) =f(g(x)) b. (fo g)(x) = g(f(x)) c. (f o g)(x) = f (x)•g(x) d. (fog)(x) = g(x)•f(x) 4) It is a set of ordered pairs (x, y) such that no two ordered pairs have the same X- value but different y-values. a. relation b. function C. domain d. range 5) What is the domain of the equation y = 3x2 - 4x? a. (x:x E R,x <-1} b. {x:x E R, x # 1} c. {x:x E R} d. {x: x E R, x 24}

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

functions and graphs

concepts in this module.
What I Know
Let us check how much you know about functions and their graphs.
Direction: Choose the letter of the best answer and write this on your answer sheet.
1) Given f(x) = 2x-5 & g(x) = 3x+ 4, solve for (g of)(x).
a. 11- 6х
b. 6x2-7x-20
С. 6х - 11
d. 6x2 - 23x -20
2) Given y = 3x + 7, what is f(-2)?
a. 1
b. -1
C. -13
d. 13
3) The composite function denoted by fog is defined as
a. (fog)(x) = f(g(x))
b. (fo g)(x) = gf(x))
c. (f o g)(x) = f (x)•g(x)
d. (fo g)(x) = g (x) f(x)
4) It is a set of ordered pairs (x, y) such that no two ordered pairs have the same x-
value but different y-values.
a. relation
b. function
C. domain
d. range
5) What is the domain of the equation y = 3x2- 4x?
a. {x:x E R, x <-1}
b. {x:xE R, x # 1}
c. {x: x € R}
d. {x: x E R, x 2 4}
2

6) Given f(x) = 2x -5 & g(x) = 3x + 4, find (feg)(x).
a. 6x2 + 23x - 20
b. 6x2 - 23x- 20
c. 6x2 - 20
d. 6x2 -7x - 20
7) if f(x) = x + 7 & g(x) = 2x - 3, what is (f-g)(x)?
a. -x +4
C. x-4
b. 10-x
d. 10 + 3x
8) When dividing two fractions or rational expressions, multiply the dividend with
the
of the divisor.
C. abscissa
d. Theorem
a. reciprocal
b. addend
9) What is the set of all possible values that the variable x can take in a relation?
C. equation
d. function
a. domain
b. range
0) Which of the following set of ordered pairs in NOT a function?
a. (1,2), (2,3), (3,4), (4,5)
b. (1,2), (1,3), (3,6), (4,8
c. (1, 1), (2, 2), (3, 3), (4, 4)
d. (3, 2), (4, 2), (5, 2), (6, 2)

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Clearly label all cases (1, 2, 3,…,10). Answers must be clear to read and show all stepsSteps to graph the function: Step 1: Identify the variables. Step 2: Determine the domain. Step 3: Determine the range. Step 4: Determine the scale of the graph. Step 5: Number and label each axis and title the graph. Step 6: Determine the data points and plot on the graph. Step 7: Determine x- and y-intercepts if exist.Step 8: Determine the degree of the function Step 9: Determine the end behavior Step 10: Draw the graph. Graph f(x) = 3x3 – 5x2 – 27x + 45 in paper-pencil-ruler style.
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