Question

F(x)= {x+4 if x<5

{8 if 5 < or equal to x<7
{2x-1 if 7 < or equal to x < or equal to 10

for f(x), evaluate the following:
A. f(0)
B. f(6)
show all of your work.​

Answer 1

A. f(0) = 4

B. f(6) = 8

Explanation:

When evaluating a piecewise function, the fist step is to determine the applicable domain. Then the function defined for that domain is the one that is used for the evaluation.

A.

x = 0 is in the domain x < 5, so the applicable function is f(x) = x+4.

f(0) = 0 +4 = 4

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B.

x = 6 is in the domain 5 ≤ x < 7, so the applicable function is f(x) = 8.

f(6) = 8