Question

I need help solving this problem

Answer 1

Answer:

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

$a = 8$

Step-by-step 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

$a = 8$