Chapter 3 Test Review (Big Ideas)

Horizontal stretch by a factor of 3.

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

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

Horizontal stretch by a factor of 2.

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

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

domain: all real numbers

range: $$y\ge0$$

domain: $$x\le0$$

range: all real numbers

domain: all real numbers

range: $$y\le0$$

domain: $$x\ge0$$

range: all real numbers

Positive: none

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

Positive: $$x>3$$

Negative: $$x<3$$

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

Negative: none

Positive: $$x>-3$$

Negative: none

Increasing: $$x<-3$$

Decreasing: $$x>-3$$

Increasing: $$x>-3$$

Decreasing: $$x<-3$$

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

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

Domain: All real numbers

Range: $$y\ge-2$$

Domain: $$y\ge-2$$

Range: All real numbers

Domain: All real numbers

Range: $$y\ge2$$

Domain: $$y\le2$$

Range: All real numbers

Horizontal, 3 units left

Vertical, 3 units up

Vertical, 4 units down

Horizontal, 4 units left