Question

Which description is correct for the x-intercept(s) of function a and function b function b f(x)=|x|-3?

Answer 1

k12 answer

Explanation:

Answer 2

Both functions have one negative and one positive x-intercept.

Explanation:

Function A:

x g(x)

−2 0

3 7

5 0

−1 2

0 −2

Function B: f(x) = |x|−3

In the x-intercept, y = 0, then the x-intercept(s) of function A are (-2, 0) and (5, 0)

For function B:

|x|−3 = 0

|x| = 3

there are two solutions: x = 3 and x = -3. Then the x-intercept(s) of function B are (-3, 0) and (3, 0).