# Maths Assignment | Homework Help Websites

Week 5

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Week 5 test

1.Find the domain of the function.

What is the domain of​ g?

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

a.

b.

c.

d.

a.

b.

c.

d.

What is the domain of

a.

b.

c.

d.

What is the domain of

a.

b.

c.

d.

3.For , find the following functions.

a.

b.

1. Does the graph represent a function that has an inverse​ function?

• -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

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.)

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

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

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

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

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

1. The horizontal asymptote is _____.(Type an​ equation.)
2. 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.

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.

1. 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.

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.

2. The solution set is the empty set.

Choose the correct graph below.

Pages (550 words)
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