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?
What is the graph of the function rule? Y=|5x|-2
4 answers
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.
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.
So, what's the answer?
gm a