As $$x \to \infty$$, $$y \to \infty$$; as $$x \to -\infty$$, $$y \to \infty$$

Question 1

Which of the following equations best represents the graph shown in the first image?

Accepted Answer

$$y = \sqrt{x^2$}$$

Question 2

What is the domain of the function represented by the graph in the first image?

Accepted Answer

$$(-\infty, \infty)$$

Question 3

What is the range of the function shown in the first image?

Accepted Answer

$$[0, \infty)$$

Question 4

Which transformation would reflect the graph in the first image over the x-axis?

Accepted Answer

$$y = -\sqrt{x^2$}$$

Question 5

If the graph in the first image is shifted 3 units up, what is the new equation?

Accepted Answer

$$y = \sqrt{x^2$} + 3$$

Question 6

Which of the following statements is true about the function $$y = \sqrt{x^2$}$$?

Accepted Answer

It is even.

Question 7

What is the y-intercept of the graph shown in the first image?

Accepted Answer

$$(0, 0)$$

Question 8

Which basic function is the parent function for the graph in the first image?

Accepted Answer

$$y = |x|$$

Question 9

If the graph in the first image is compressed vertically by a factor of $$\frac{1}{2}$$, what is the new equation?

Accepted Answer

$$y = \frac{1}{2}\sqrt{x^2$}$$

Question 10

Which of the following best describes the end behavior of the graph in the first image?

Accepted Answer

As $$x 	o \infty$$, $$y 	o \infty$$; as $$x 	o -\infty$$, $$y 	o \infty$$

Precalculus Review: One-to-One Functions and Graphs

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