Question

Evaluate the piecewise defined function at the indicated values.

f(x) =

9x if x < −1
x + 2 if −1 ≤ x ≤ 3
(x − 3)2 if x > 3
f(−5) =
f(−1) =
f(2) =
f(3) =
f(6) =

Answer 1

9514 1404 393

Answer:

-45, 1, 4, 5, 9

Step-by-step explanation:

The first argument value, -5, is less than -1, so the first section of the function definition is used. f(-5) = 9(-5) = -45.

The 2nd to 5th argument values are in the interval [-1, 3], so the second section of the function definition is used.

The last argument value, 6, is greater than 3, so the last section of the function definition is used. f(6) = (6 -3)^2 = 9.

Function values are shown in the table attached.