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:

$m=\frac{8-6}{1-3}=-2$

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:

$y=-2x+10$