Question

3. Draw a mapping diagram for the graph. Then describethe pattern of inputs and outputs.

Answer 1

For this case the mapping diagram would be:

We have the following points given:

(1,8), (3,6) and (5,4)

Since we have a line pattern we can find the equation with this formula:

`y=mx+b`

Where m is the slope and b the intercept:

`m=(8-6)/(1-3)=-2`

And for the intercept we got:

`8=-2(1)+b`

And solving for b we got:

`b=10`

And the equation would be given by:

`y=-2x+10`