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) =
9514 1404 393
Answer:
-45, 1, 4, 5, 9
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.