### Home > INT3 > Chapter 5 > Lesson 5.1.1 > Problem5-8

5-8.

Make a table of $y=\frac{1}{2}x-3$ and its inverse function.

1. What is the relationship between the table for the original function and its inverse?

What happens to the inputs and outputs when determining the inverse?

2. Graph $y=\frac{1}{2}x-3$ and its inverse function on the same set of axes.

If you are stuck, use your tables from part (a).

3. What is the equation of the inverse function?

What is being done to $x$ in the original function? Make a list and undo.

Inverse:

1. Add 3                 $x+3$

2. Multiply by 2     $2\left(x+3\right)$

The inverse is $y=2\left(x+3\right)$

4. Does the graph of the two lines have a line of symmetry? If so, what is the equation of the line of symmetry?

Can you fold the graph in half so that the lines coincide?