Free Printable Ch 2 "Quiz" (College Algebra, whole chpt)

1.

What is the domain of the function in this graph?

a)

(-infinity, infinity)

b)

[3, inifinity)

c)

(-infinity, 0]

d)

[0, infinity)

2.

What is the range of the function?

a)

[-1, +∞)

b)

(-1,1)

c)

[1.5, +∞)

d)

(-2, 2)

3.

Find the domain and range of the function
Hint: Use a scratch graph to help you visualize things.

a)

Domain: (-∞, ∞) Range: [-∞, 4]

b)

Domain: [1, ∞) Range: (-∞, 4]

c)

Domain: [-1. ∞) Range: [4, ∞)

d)

Domain: [4, ∞) Range: [-1,∞)

4.

State the domain restrictions.

a)

x ≠ -2, 1

b)

x ≠ 2, 1

c)

x ≠ 2, -1

d)

x ≠ -2, 2, 1

5.

What are the transformations of this functions compared to the parent function?

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch by 2, and shifted right 5

c)

Reflected over the x-axis, vertical stretch by 2, and shifted left 5

d)

Shifted right 5, shifted down 2

6.

What is the equation of this graph?

a)

y=2|x-3|+1

b)

y=2|x-1|+3

c)

y=-2|x+1|+3

d)

y=-2|x-1|+3

7.

Choose the correct translated function.

a)

f(x)= -(x+1)²+4

b)

f(x)= (x-1)²-4

c)

f(x)= -(x+1)²-4

d)

f(x)= -(x+4)²-1

8.

Which is the correct equation for the graph?

a)

(x+1)³ - 5

b)

(x-1)³ - 5

c)

∛(x+1) - 5

d)

∛(x-1) - 5

9.

Which is the correct equation for the graph?

a)

y=(x-3)²+2

b)

y=(x-3)³-2

c)

y=(x+3)³+2

d)

y=(x-3)³+2

10.

Given f(x)=2x² - 8 and g(x)= -3x+7, find f(g(x)).

a)

f(g(x))= -6x²+31

b)

f(g(x))= -6x²+24

c)

f(g(x))=18x²-84x+90

d)

f(g(x))=9x²-42x-41

11.

Write the equation of the line that passes through the points (0, -5) and (4, 3)

a)

y=2x-5

b)

y=1/2x-5

c)

y=2x+5

d)

y=1/2x+5

12.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

13.

f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f - g)(x).

a)

x² + 8x + 1

b)

x² + 6x - 1

c)

5x² + 8x - 1

d)

x² + 8x -1

14.

f(x) = x + 5 and g(x) = x² - 2x + 3

Find (fg)(x)

a)

x³ + 3x² - 7x + 15

b)

x³ - 2x² + 15

c)

x³ + 3x² - 10x + 15

d)

x³ - 3x + 15

15.

Find the domain of the function.

a)

(-3,4) U (4,∞)

b)

(-∞,-4) U (-4,3) U (3,∞)

c)

(-∞,-4) U (3,∞)

d)

(-∞,-3) U (-3,4) U (4,∞)

16.

Our function is f(x) = $\sqrt{x\ +\ 5}$

What is the equation of the inverse?

a)

$f^{-1}\left(x\right)\ =\ x^2\ -\ 5$

b)

$f^{-1}\left(x\right)\ =\ x^2\ +\ 5$

c)

$f^{-1}\left(x\right)\ =\ \left(x\ -\ 5\right)^2$

d)

$f^{-1}\left(x\right)\ =\ \left(x\ +\ 5\right)^2$

17.

What is the domain of f(g(x))?

a)

{x | x is not equal to -1, -2}

b)

{x | x is not equal to -1, -3}

c)

{x | x is not equal to -2, -3}

d)

{x | x is not equal to -1, -2, -3}

Ch 2 "Quiz" (College Algebra, whole chpt)

Total questions: 17

Worksheet time: 1hrs 25mins

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