Question

Given the piecewise function shown below, select all the statements that are true.

f(x)={−x+1,x≥0
​
A. f(1- )=2
B. f(4)=7
C. f(−2)=0
D. f(1)=0

Answer 1

To determine which statements are true about the given piecewise function, we can evaluate the function for the given values.

Step-by-step explanation:

The given piecewise function is f(x) = {-x + 1, x >= 0}.

To determine which statements are true, we can evaluate the function for the given values.

A. f(1-) = -1, which is not equal to 2, so this statement is false.

B. f(4) = -4 + 1 = -3, which is not equal to 7, so this statement is false.

C. f(-2) is undefined because x < 0, so this statement is false.

D. f(1) = -1 + 1 = 0, which is equal to 0, so this statement is true.

Therefore, the correct statements are D. f(1) = 0.