What is the range of the function g(x) = |x – 12| – 2? y y > –2 y y

Question

what is the range of the function g(x) = |x – 12| – 2? y y y > 12 y

Answer 1

The range of function is
`R= \left \ y`

Explanation:

Given : Function
`g(x) = |x -12| -2`

To find : What is the range of the function?

Solution :

The range is defined as the set of y values for which function is defined.

We have given function
`g(x) = |x -12| -2` in the vertex form.

The general vertex form is
`y=a|x-h|+k` where (h,k) are the vertex of the equation.

On comparing the vertex of the given function is (h,k)=(12,-2)

i.e. The y-values taken is less than -2.

So, the range would be the all y values greater than or equal to -2.

Therefore, The range of function is
`R= \left \y\geq -2 \right \`

Refer the attached figure below of the function.

Answer 2

Range = y ≥ –2