Question

A function g(x) is defined as shown.

( 2 + 3x, osx < 4
g(x) = 0.5 x + 10, 45x< 8
x > 8
( 16
What is the value of g(4)?
O 10
O 12
O
16

Answer 1

12

Explanation:

This is a piece-wise function.

They are defined differently at different x intervals as shown.

We want to find g(4), that means the value of the function at x = 4.

From the piece-wise function, we have to see which equation falls in the interval x = 4.

The first one doesn't since 4 is not included. The second line is the one, because this includes x = 4 interval.

So, we will use

0.5x + 10

to find the value of the function at x = 4.

So,

g(4) = 0.5(4) + 10 = 12

The value is 12