Free Printable Chapter 3 Test Review (Big Ideas)

1.

Let $f\left(x\right)=x+3$ , and let $g\left(x\right)=f\left(2x\right)$ . Which description of the transformation from the graph of $f$ to the graph of $g$ .

a)

Horizontal stretch by a factor of 3.

b)

Horizontal shrink by a factor of $\frac{1}{3}$ .

c)

Horizontal shrink by a factor of $\frac{1}{2}$ .

d)

Horizontal stretch by a factor of 2.

2.

Let $f\left(x\right)=3x-4$ . Graph $g\left(x\right)=-f\left(x\right)$ .

Choose the description of the transformation from the graph of f to the graph of g.

a)

The graph of g is a reflection in the x-axis of the graph of f.

b)

The graph of g is a reflection in the y-axis of the graph of f.

3.

Identify the graph of $g\left(x\right)=\left|x+4\right|$ .

a)

b)

c)

d)

4.

Find the domain and range of $g\left(x\right)=\left|x-2\right|$ .

a)

domain: all real numbers

range: $y\ge0$

b)

domain: $x\le0$

range: all real numbers

c)

domain: all real numbers

range: $y\le0$

d)

domain: $x\ge0$

range: all real numbers

5.

Determine when g(x) is positive and negative.

a)

Positive: none

Negative: $x<-3\ and\ x>-3$

b)

Positive: $x>3$

Negative: $x<3$

c)

Positive: $x<-3\ and\ x>-3$

Negative: none

d)

Positive: $x>-3$

Negative: none

6.

Determine where g(x) is increasing and decreasing.

a)

Increasing: $x<-3$

Decreasing: $x>-3$

b)

Increasing: $x>-3$

Decreasing: $x<-3$

7.

Describe the end behavior of g(x).

a)

$y\rightarrow+\infty\ as\ x\rightarrow-\infty\ and\ y\rightarrow+\infty\ as\ x\rightarrow+\infty$

b)

$y\rightarrow-\infty\ as\ x\rightarrow-\infty\ and\ y\rightarrow-\infty\ as\ x\rightarrow+\infty$

8.

Identify the graph of $g\left(x\right)=\left|x\right|-6$ .

a)

b)

c)

d)

9.

Identify the domain and range.

a)

Domain: All real numbers

Range: $y\ge-2$

b)

Domain: $y\ge-2$

Range: All real numbers

c)

Domain: All real numbers

Range: $y\ge2$

d)

Domain: $y\le2$

Range: All real numbers

10.

Describe the transformation.

a)

Horizontal, 3 units left

b)

Vertical, 3 units up

c)

Vertical, 4 units down

d)

Horizontal, 4 units left

Chapter 3 Test Review (Big Ideas)

Total questions: 10

Worksheet time: 50mins

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