Question

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What is the x-intercept of this piece wise function?

{ x^2 if x > 4
F(x) {2x if 2 < x ≤ 4
{x/2 if x ≤ 2
A. It crosses the x-axis at (0.5, 0).
B. It never crosses the x-axis.
C. It crosses the x-axis at the origin, (0, 0).
D.It crosses the x-axis at (2, 0).
E.It crosses the x-axis at (16, 0).

Answer 1

To get on the x-axis, the value of y has to be 0.

This piece x/2 if x ≤ 2 appears to be where the x-intercept will occur

0 = x/2 --> Solve for x and let's see if the answer makes sense.

Answer 2

Did you solve this: 0 = x/2 ?