Question

Use the piecewise function to find f(10).

f(x) = {-4, x < -2
{x-2, -2 <= x < 2
{-2x + 4, x >= 2
A. 16
B. 8
C. -16
D. -4

Answer 1

To find f(10) using the piecewise function, we use the third part of the function since 10 >= 2, which is -2x + 4. The calculation gives us -2(10) + 4, resulting in -16. Hence, the answer is C. -16.

Step-by-step explanation:

The student has provided a piecewise function and is asking to find f(10). To find the value of f(10), we need to determine which part of the piecewise function applies when x is equal to 10. Looking at the function:

• -4 for x < -2
• x - 2 for -2 ≤ x < 2
• -2x + 4 for x ≥ 2

Since 10 is greater than 2, we use the third part of the function, which is -2x + 4. Plugging 10 into this part of the function gives us:

f(10) = -2(10) + 4 = -20 + 4 = -16

Therefore, the answer is C. -16.