Question

I need help solving this problem

Answer 1

`(x,f(x)) = (-1,8)` -- Another point

`a = 8`

Explanation:

Given

`f(x) = a|x|`

`(x,f(x)) = (1,8)`

Solving (a): Another point

Substitute 1 for x and 8 for f(x) in
`f(x) = a|x|`

`8 = a|1|`

Remove absolute bracket

`8 = a*1`

`8 = a`

`a = 8`

Substitute 8 for a in
`f(x) = a|x|`

`f(x) = 8|x|`

Let x = -1

`f(x) = 8|-1|`

Remove absolute bracket

`f(x) = 8*1`

`f(x) = 8`

So, another point is:

`(x,f(x)) = (-1,8)`

Solving (b): The value of a

This has been solved in (a) above

`a = 8`