Free Printable CA Ch. 2 Review

1.

What is the slope of this line?

a)

$-\frac{5}{4}$

b)

$-\frac{4}{5}$

c)

$0.8$

d)

$-0.2$

2.

Write the equation in slope-intercept form (solve for y):
2y = 10x + 14

a)

y = 10x + 12

b)

y = 10x + 7

c)

y = 5x + 14

d)

y = 5x + 7

3.

Write equation of the line containing (-3,4) and (-1,-2)

a)

y = -3x - 5

b)

y = -3x + 1

c)

y = -3x + 13

d)

y = 3x + 1

4.

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

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

$y=-\frac{1}{2}x+\frac{5}{2}$

5.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ that passes through the point (-6, 10).

a)

$y=\frac{1}{3}x-9$

b)

$y=\frac{1}{3}x+10$

c)

$y=-3x+6$

d)

$y=-3x-8$

6.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

7.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

8.

Using the vertical line test. Is this a function?

a)

Yes

b)

No

9.

When x is less than or equal to 2, what equation is shown in the graph?

a)

f(x) = 3

b)

f(x) = x

c)

f(x) = | x |

d)

f(x) = | x - 1 |

10.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

11.

Using the pictured graph, what is f(-3)?

a)

-3

b)

-1

c)

1

d)

3

12.

a)

A

b)

B

c)

C

d)

D

13.

Where is the function decreasing?

a)

(-∞, -1)

b)

(-1, ∞)

c)

(-∞, 3)

d)

(-∞, ∞)

14.

When is this function decreasing?

a)

(-3, 3)

b)

(-∞, -3) U (3, ∞)

c)

(-∞, -3] U [3, ∞)

d)

[-3, 3]

15.

How would you describe the behavior of this function on the domain interval (-1, 1)?

a)

increasing

b)

decreasing

c)

constant

16.

What is the maximum value (y-value only)?

a)

2

b)

5

c)

-1

d)

0

17.

Describe the transformation that occurred

p(x) = f(x + 3)

a)

Right 3 units

b)

Vertical Stretch

c)

Up 3 units

d)

Left 3 units

18.

Describe the transformation that occurred.

h(x) = f(x) + 2

a)

up 2 units

b)

left 2 units

c)

Vertical Strech

d)

right 2 units

19.

Describe the transformation that occurred.

w(x) = f(x - 7)

a)

Down 7

b)

Up 7

c)

Right 7

d)

vertical compression

20.

Describe the transformation that occurred

k(x) = f(x) - 9

a)

vertical compression

b)

Down 9 units

c)

Left 9 units

d)

Right 9 Units

21.

Describe the transformation from dotted to solid.

a)

f(x + 5) + 3

b)

f(x +3) + 5

c)

f(x - 5) + 3

d)

f(x - 3) + 5

22.

Which of the following graphs is the Parent Function in the Quadratic Family?

a)

b)

c)

d)

23.

Based on the graph, determine the function in the blue. (Hint: It includes all 4 kinds of transformations)

a)

y = -.5( x - 2 )² - 1

b)

y = -2( x + 2 )² - 1

c)

y = -2( x - 2 )² + 1

d)

y = -2( x - 2 )² - 1

24.

Find the zero of the following function.

f\left(x\right)\ =\ 2x^2\ -\ 7x\ -\ 30

a)

$\frac{-5}{2}$ , 6

b)

$\frac{-5}{2}$ , -6

c)

$\frac{5}{2}$ , 6

d)

$\frac{5}{2}$ , -6

25.

f\left(x\right)\ =\ x+2;\ \ \ \ \ \ g\left(x\right)\ =\ x-2

Find\ \left(f+g\right)\left(x\right)

a)

$x^2$

b)

$2x$

c)

$4$

d)

$-x^2+4$

26.

$f\left(x\right)=2x-5;\ \ \ \ \ \ g\left(x\right)=2-x$ $Find\ \left(f-g\right)\left(x\right)$

a)

$x-3$

b)

$3x-7$

c)

$3x-3$

d)

$x+3$

27.

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

a)

3x² +5

b)

x² +1

c)

3x² +1

d)

3x² +6

28.

Select the simplified composite.

$f\left(x\right)=\sqrt{x+2},\ g\left(x\right)\ =\ \frac{3}{x^2+1}$

$\left(g\ \circ\ f\right)\left(x\right)\ =$

a)

$\frac{1}{x}$

b)

$\frac{1}{x+1}$

c)

$\frac{3}{x+3}$

d)

$\frac{3}{\sqrt{x+2}+1}$

29.

Given f(x) = $\frac{1}{x-1}$ and g(x) = $\sqrt{x}$ , find the domain of $\left(f\circ\ g\right)\left(x\right)$ .

a)

[1, infinity)

b)

All reals except 0

c)

[0,1) U (1, infinity)

d)

[0,1]

30.

Find the inverse of $f\left(x\right)=3x+2$

a)

$f^{-1}\left(x\right)=\frac{x-2}{3}$

b)

$f^{-1}\left(x\right)=\frac{x-3}{2}$

c)

$f^{-1}\left(x\right)=\frac{3x}{2}$

d)

$f^{-1}\left(x\right)=\frac{2+x}{3}$

31.

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

a)

(1, 2) (3, 8) (-3, 6)

b)

(1, 2) (8, 3) (-3, 6)

c)

(-1, -2) (-3, -8) (3, -6)

d)

(2, 1) (8, 3) (6, -3)

32.

What's the name of the inverse of g(x)?

a)

f(x)

b)

f^-1(x)

c)

y

d)

g^-1(x)

33.

The inverse has been reflected over which line?

a)

y = x

b)

y =1

c)

y = 0

d)

y = x + 1

CA Ch. 2 Review

Total questions: 33

Worksheet time: 50mins

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