Question

(Federal Income Taxes and Piecewise Functions MC)

Determine f(-2) for

f(x)={x^3, x < -3
{2x^2-9, -3 </= x < 4
{5x+4, x >/= 4

answer key,
-1
-6
8
9​

Answer 1

Since -2 is between -3 and 4, we need to evaluate the function f(x) = {x^3, x < -3 {2x^2-9, -3 ≤ x < 4 {5x+4, x ≥ 4} at x = -2 using the second equation.

f(-2) = 2(-2)^2 - 9
f(-2) = 2(4) - 9
f(-2) = 8 - 9
f(-2) = -1

Therefore, the answer is -1.