Question

What are the maximum and minimum of the function f(x) = 0.9|-(x − 5)| + 7?

Answer 1

Maximum value:

the maximum value is
`\infty`

Minimum value:

the minimum value is 7

Explanation:

We are given function as

`f(x)=0.9|-(x-5)|+7`

Firstly, we will draw graph

we can see the graph

and then we can identify maximum and minimum

Maximum value:

We know that

the largest y-value means maximum value of f(x)

We can see that curve is moving upward

so, the maximum value is
`\infty`

Minimum value:

We know that

the smallest y-value means minimum value of f(x)

we can see that

It starts from point (5,7)

so, the minimum value is 7