Week 5

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Week 5 test

**1.**Find the domain of the function.

ANSWER:

What is the domain of g?

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**2**. Given and , first find . Then determine the domain for each function.

ANSWER:

What is the domain of Choose your answer below.

a.

b.

c.

d.

What is the domain of Choose your answer below.

a.

b.

c.

d.

What is the domain of

a.

b.

c.

d.

What is the domain of

a.

b.

c.

d.

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**3.**For , find the following functions.

a.

b.

ANSWER:Please show work for both a. and b.

**4.**The function is one-to-one. Find an equation for the inverse function.

ANSWER: Please show work.

- Does the graph represent a function that has an inverse function?

ANSWER:

Choose correct answer below.

- -Yes
- -No

**6.**Use the graph of the rational function to complete the following statement.

Asymptotes are shown as dashed lines. The horizontal asymptote is The vertical asymptotes are

ANSWER:

**7.**Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the rational function.

ANSWER:Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an equation. Use commas to separate answers as needed.)

- The vertical asymptote(s) is(are)_______. There are no holes.

b.There are no vertical asymptotes but there is(are) hole(s) corresponding to_________.

- The vertical asymptote(s) is(are)______ and hole(s) corresponding to _______.
- There are no discontinuities.

**8.**Find the horizontal asymptote, if any, of the graph of the rational function.

ANSWER:

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

- The horizontal asymptote is _____.(Type an equation.)
- There is no horizontal asymptote.

**9.**Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation.

ANSWER:

Solve the inequality. What is the solution set? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a.The solution is ________.(Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)

- The solution set is the empty set.

Choose the correct graph below.

**10****.**Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation.

ANSWER:

Solve the inequality. What is the solution set? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

- The solution set is _________.(Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
- The solution set is the empty set.

Choose the correct graph below.

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