Question

Given the piecewise function below, select all of the statements that are true. f(x)= {-x + 1, x < 0} {-2, x = 0} {x^2 -1, x > 0} A. f(4)=7 B. f(-1)=2 C. f(1)=0 D. f(-2)=0

Answer 1

Let's start with A.

The input is 4 so it will be f(4) = (4)²-1 because 4 > 0.

f(4) = (4)² - 1 = 16 - 1 = 15 so A is false.

B)

The input is -1 so it will be f(-1) = -(-1) + 1 because -1 < 0
f(-1) = -(-1) + 1 = 2

So B is true.

C)

1 > 0 so f(1) = (1)² - 1 = 0, so C is true.

D)

-2 < 0 so f(-2) = -(-2) + 1 = 3 so D is false.

Final answer: B and C

Hope this helps.