Chapter 5.8, Problem 3STP

For Exercises $1-6,$ choose the correct letter.

What is the $y$-intercept of $y=\left|x\right|-3$?

A. -3

C. $\frac{1}{3}$

B. $-\frac{1}{3}$

D. 3

To determine

To choose : the correct y- intercept of given function

A.$-3$   B. $\frac{1}{3}$   C. $-\frac{1}{3}$  D. 3

Answer to Problem 3STP

A. $-3$

Explanation of Solution

Given function: $y=\left|x\right|-3$

Calculation:

We know that y- intercept is a point where the graph of the function meet the y- axis.

Therefore, y- intercept of given function is obtained by substituting x= 0 and solve for y.

  $\begin{array}{l}y=\left|0\right|-3\\ y=-3\end{array}$

Thus, y- intercept of $y=\left|x\right|-3$ is $-3$ .