Question

A function g(x) is defined as shown.

g(x) = StartLayout enlarged left-brace 1st Row 1st column 2 + 3 x, 2nd column 0 less-than-or-equal-to x less-than 4 2nd Row 1st column 0.5 x + 10, 2nd column 4 less-than-or-equal-to x less-than 8 3rd Row 1st column 16, 2nd column x greater-than-or-equal-to 8 EndLayout

What is the value of g(4)?

10
12
14
16

Answer 1

12

Since the middle piece applies at x = 4 (4 ≤ x < 8): g(4) = 0.5(4) + 10 = 12.