Answer: The graph is attached. Please note that the logarithm function is defined for non-negative Reals only. Therefore the log(-x) only exists in the negative interval (-inf,0). Please let me know if you have any questions.
Given:
Expression is

To prove:
If r is any rational number, then
is rational.
Step-by-step explanation:
Property 1: Every integer is a rational number. It is Theorem 4.3.1.
Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.
Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.
Let r be any rational number.
We have,

It can be written as

Now,
3, -2 and 4 are rational numbers by property 1.
is rational by Property 3.
are rational by Property 3.
is rational by property 2.
So,
is rational.
Hence proved.
To find the sales price of the DVD, you would multiply the price and sale percent to get the sale price.
You would need to turn 20% into a decimal to multiply it with 9, so you would move the decimal place two times to the left: From 20. to→ .20
In this case: 9 × .20 = 1.8
Then you would subract the sub price by the sales price
9 - 1.8 = 7.2
The sales price of the DVD would be $7.20