5. Let g(x) = .
a. Is this function one-to-one? How did you determine this?
b. If it is one-to-one, find .
16. Graph (Show scale. Use dashed line for asymptotes. Identify some points on the graph.)
y
x
a. What is the domain of the function?
b. What is the range of the function?
c. Identify any asymptotes.
22. At the end of an advertising campaign, the sales (in dollars) declined, with weekly sales given by the equation y = 40,000(3 ), where x is the number of weeks after the end of the campaign. In how many weeks will sales be half of the sales at the end of the ad campaign?
24. Business partners want to purchase a restaurant that costs $750,000. They have $300,000 for a down payment, and they can get a 25-year business loan for the remaining funds at 8% per year on the unpaid balance, with quarterly payments.
a. What will be the payments?
b. What is the total amount that they will pay over the 25 year period?
c. How much interest will they pay over the life of the loan?
27. For the function
a. List all possible rational zeros.
b. Find all real zeros algebraically.
c. Write the polynomial in factored form.
28. For the polynomial
a. Find the degree of the polynomial.
b. Determine the end behavior.
c. Find the y-intercept.
d. Find the x-intercepts.
29 . For the function
a. Find the domain of the function.
b. Find the x- and y-intercepts of the function if there are any.
c. Find any vertical asymptotes.
d. Find any horizontal or slant asymptotes.
e. Graph using a calculator then sketch by hand. (Show scale. Use dashed line for asymptotes. Identify some points on the graph.)
y
x