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I Need Help Solving This Problem class=

Sagot :

MrRoyal

Answer:

[tex](x,f(x)) = (-1,8)[/tex] -- Another point

[tex]a = 8[/tex]

Step-by-step explanation:

Given

[tex]f(x) = a|x|[/tex]

[tex](x,f(x)) = (1,8)[/tex]

Solving (a): Another point

Substitute 1 for x and 8 for f(x) in [tex]f(x) = a|x|[/tex]

[tex]8 = a|1|[/tex]

Remove absolute bracket

[tex]8 = a*1[/tex]

[tex]8 = a[/tex]

[tex]a = 8[/tex]

Substitute 8 for a in [tex]f(x) = a|x|[/tex]

[tex]f(x) = 8|x|[/tex]

Let x = -1

[tex]f(x) = 8|-1|[/tex]

Remove absolute bracket

[tex]f(x) = 8*1[/tex]

[tex]f(x) = 8[/tex]

So, another point is:

[tex](x,f(x)) = (-1,8)[/tex]

Solving (b): The value of a

This has been solved in (a) above

[tex]a = 8[/tex]

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