Question 1

Determine the domain of the function. f(x)=square root 1-x

A)All real numbersB)x > 1C)x 1D)All real numbers except 1

Question 2

Describe how the graph of y = x²can be transformed to the graph of the given equation: y = x²- 20

A)Shift the graph of y = x²left 20 units.B)Shift the graph of y = x²up 20 units.C)Shift the graph of y = x²down 20 units.D) Shift the graph of y = x²right 20 units.

Question 3

Determine the domain of the function. f(x)= square root x+4/(x+2)(x-5)

A)All real numbers except -4, -2, and 5B)x -4, x -2, x 5C) All real numbersD)x 0

Question 4

Use your graphing calculator to graph f(x) = |x + 1| and determine where the function is increasing and decreasing.

A)Increasing x > -1; Decreasing x < -1B)Increasing x < 1; Decreasing x > 1C)Increasing x < -1, Decreasing x > -1D)Increasing x > 1; Decreasing x < 1

Question 5

Is the function of f(x) = |4x| +3/xeven, odd, or neither?

A)EvenB)OddC)Neither

Question 6

State the domain of the rational function. f(x) =13/2-x

A)All real numbers except 13B)All real numbers except -13 and 13C)All real numbers except -2 and 2D)All real numbers except 2

Question 7

f(x) = 3x + 2; g(x) = 3x - 5 Find f/g.

A)(f/g)(x) =3x-5/3x+2; domain {x|x -2/3}B)(f/g)(x) =3x+2/3x-5; domain {x|x 5/3}C)(f/g)(x) =3x-5/3x+2; domain {x|x 5/3}D)(f/g)(x) =3x+2/3x-5; domain {x|x -2/3}

Question 8

Select true or false: The function -2(x + 4)(x - 7)³> 0, when x < -4 or x > 7.

A)TrueB)False

Question 9

f(x) = 2x + 6, g(x) = 4x² Find (f + g)(x).

A)8x³+ 24x

B) 2x+6/4x²

C)4x²+ 2x + 6

D)-4x²+ 2x + 6

Question 10

f(x) =square root x+7; g(x) = 8x - 11 Find f(g(x)).

A)f(g(x)) = 2 square root 2x+1B)f(g(x)) = 8 square root x+7- 11C)f(g(x)) = 8 square root x-4D)f(g(x)) = 2 square root 2x-1Question 11

State the domain and range for the function f(x) = 2x²- 7.

Question 12

Show that the function f(x) = x^-5+ cos(2x) is even, odd, or neither.

Question 13

Determine the equation of a line, in slope-intercept form, that passes through the points (5, 6) and (10, 2).

Question 14

Write the equation of the function g(x) if g(x) = f(x - 3) +1 and f(x) = x³+ 1.

Question 15

Identify the maximum and minimum values of the function y = 8 cos x in the interval [-2, 2]. Use your understanding of transformations, not your graphing calculator.