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The graph of an absolute value function f(x) = a|x| includes the point (1, 8). Complete the following statements.Another point on the graph is ( ?, 8).The value of a is 

Respuesta :

[tex]f(x)=a\lvert x\rvert[/tex]

In a absolute value graph the value of y is the same in -x and x.

Then if the coordinates (x,y) one point is (1, 8), the graph have another point in (- 1, 8).

To find the value of a you use one of the points (x,y) in the general form of absolute value:

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

[tex]8=a\lvert1\rvert[/tex]

As:

[tex]\lvert\pm a\rvert=a[/tex]

You get:

[tex]8=a\cdot1[/tex]

Then:

[tex]a=8[/tex]

The equation for the graph with points (1 , 8) and ( -1, 8) is:

[tex]f(x)=8\lvert x\rvert[/tex]a= 8

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