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

Answer:

The correct answer is 4.

Step-by-step explanation:

The function g is defined as

g(x) = $\left[\begin{array}{ccc}2 + 3x & 0 \leq x < 4 \\0.5x + 10&4 \leq x < 8\\16&x\geq 8\end{array}$

We need to compute the value of the function at 4. This is done by putting the value of x as 4.

∴ g(4) = 0.5 × 4 + 10 = 12 as x = 4

Thus the value of the function g at the value 4 is given by 12.