Question

What is the graph of the function rule? Y=|5x|-2

Answer 1

You surely know that the graph of y=|x| is a V shape with the point of the V at (0,0)

So, what do you have to do to it to get to your rule?

Answer 2

y = | 5 x | - 2 mean:

y = ± 5 x - 2

1.

y = 5 x - 2

2.

y = - 5 x - 2

These are two straight lines.


Find x and y intercepts for both.

x- intercept is a point on the graph where y is zero

y- intercept is a point on the graph where x is zero


1.

y = 5 x - 2

x- intercept

5 x - 2 = 0

add 2 to both sides

5 x - 2 + 2 = 0 + 2

5 x = 2

Divide both sides by 5

x = 2 / 5

x- intercept:

x = 2 / 5 , y = 0

x = 0.4 , y = 0

You can write this like x- intercept ( 0.4 , 0 )

y- intercept

y = 5 ∙ 0 - 2

y = 0 - 2

y = - 2

y- intercept:

x = 0 , y = - 2

You can write this like y- intercept ( 0 , - 2 )

Draw straight line which connects point ( x = 0.4 , y = 0 )
and point x = 0 , y = - 2

2.

y = - 5 x - 2

x- intercept

- 5 x - 2 = 0

add 2 to both sides

- 5 x - 2 + 2 = 0 + 2

- 5 x = 2

Divide both sides by - 5

x = - 2 / 5

x- intercept:

x = - 2 / 5 , y = 0

x = - 0.4 , y = 0

You can write this like x- intercept ( - 0.4 , 0 )

y- intercept

y = - 5 x - 2

y = ( - 5 ) ∙ 0 - 2

y = 0 - 2

y = - 2

y- intercept:

x = 0 , y = - 2

You can write this like y- intercept ( 0 , - 2 )

Draw straight line which connects point ( x = - 0.4 , y = 0 )
and point x = 0 , y = - 2

If you want to see the graph go on:

wolframalpha.c o m

When page be open in rectangle type:

plot y = | 5 x | - 2 , x = - 1 to 1

and click option =

You will see the graph.

Answer 3

So, what's the answer?

Answer 4

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