Question

Write an equation to match each graph.

I already tried y=[x] that didn’t work

Answer 1

y=|x|

Explanation:

We know

general modulus function passes through origin as |0| is 0

And it's symmetric on both sides of y axis .

As it's not one -one function

Means

• f(-1)=|-1|=1
• f(1)=|1|=1

So the graph is y=|x|

Answer 2

y = |x|

Explanation:

The equation for the part of graph to the right of the y-axis is:

y = x where y ≥ 0

The equation for the part of graph to the left of the y-axis is:

y = -x where y ≥ 0

So we can see that both a positive and negative value of x gives the same positive value of y.

Therefore, we can create an equation for the graph by using the absolute value of x:

⇒ y = |x|

Absolute value means how far away a number is from zero.

"x" is x away from zero and "−x" is also x away from zero.

So the absolute value of x is x, and the absolute value of −x is also x.

The bars either side of the x shows that we want the absolute value of x.

In practice, think of "absolute value" as removing any negative sign in front of a number.

With y = x → when x = 1, y = 1 and when x = -1, y = -1

With y = |x| → when x = 1, y = 1 and when x = -1 we think of it as x = 1, so y = 1