Question

What is the range of the function g(x) = [X – 12 – 2? o tyy-2) OVY 2-2) Oviy> 12) O y 2 12)​

Answer 1

The range of the function is: $\{y | y \ge -2 \}$

What is the range of a function?

The range of a function is the set of output values the function can take

The function is given as:

$g(x) = |x - 12| -2$

The above function is an absolute value function;

And it is represented as:

$g(x) = a|x - h| + b$

When a is positive, then the range of the function is:

$y \ge b$

By comparison, we have:

$a =1$

$b = -2$

Hence, the range of the function is: $\{y | y \ge -2 \}$

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