Question

Find the range of f(-5)=-2|x-5|+8 please with explination.

Answer 1

Explanation:

Thats the all rhe answers step by step

Answer 2

Domain: set of possible input values (x-values)

Range: set of output values (y-values)

The range for the function
`f(x)=-2|x-5|+8` is:

`f(x)\leq 8`

(5, 8) is the vertex of the line

Because |x - 5| is absolute (so always positive) and it is multiplied by -2,

-2|x - 5| will always be negative unless x = 5 (when it will be zero). Therefore, the max y-value is 8.

However, your question actually asked what the function is when x = -5:

`f(-5)=-2|x-5|+8\\\\= -2|-5-5|+8\\\\= -12`