Question

Can you please help me?

Answer 1

See the solution below.

Explanation:

a. I have provided what the graph should look like along with its inverse.

b. To find the domain and range all we have to do is look at the table.

The domain is all the x-values for which the function is defined so we just list all the `x`-values.

Therefore, the Domain is `{0,1,2,4,6}`

Similarly, the range are all the `y`-values that define the function so...

Range:`{3,4,5,6,7}`

c. (see a) Note: To graph the inverse, just switch the `x` and `y` values and plot them. For example, since the first coordinate pair is `(0,3)` its inverse will then be `(3,0)`.

d. The domain and range for the inverse will be the domain and range of the first curve we drew but switched. That is to say that the domain of the first curve will be the range of the inverse curve and the range of the first curve will be the domain of the inverse curve.

Thus,

Domain: `{3,4,5,6,7}`
Range: `{0,1,2,4,6}`