Rational expressions and functions unit test

Graded Assignment
Unit Test, Part 2: Rational Expressions and Equations
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.

Total score: ____ of 31points

(Score for Question 1: ___ of 9 points)

1. For the function, f of x equals 5 over x squared:

(a) Complete the table of values.

(b) Draw the function on the coordinate plane.

(c) Write the domain and range of the function using set notation.

(Score for Question 2: ___ of 9points)

2. For the function, g of x equals 1 over the quantity x minus 4, plus 2:

(a) Write the equations of the asymptotes and label them on the coordinate plane.

(b) Enter at least five values in the table of values.

(c) Graph the function on the coordinate plane.

(Score for Question 3: ___ of 7 points)

3. For the function, c of x equals the quantity x squared plus 4x minus 5 over the quantity x plus 5:

(a) Identify the restricted domain value(s).

(b) Simplify the function. Show your work.

(c) Graph the function.

(Score for Question 4: ___ of 6 points)

4. Julissa can unload a ship’s cargo twice as fast as Chris. Together, they can unload the cargo in 4 hours. How long would it take each of them working alone to unload the cargo?

Graded Assignment
Unit Test, Part 2: Rational Expressions and Equations
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.

Total score: ____ of 31points

(Score for Question 1: ___ of 9 points)

For the function, :
Complete the table of values.

Draw the function on the coordinate plane.

Write the domain and range of the function using set notation.

(Score for Question 2: ___ of 9points)

For the function, :
1. Write the equations of the asymptotes and label them on the coordinate plane.

Enter at least five values in the table of values.

Graph the function on the coordinate plane.

(Score for Question 3: ___ of 7 points)

For the function, :
1. Identify the restricted domain value(s).

Simplify the function. Show your work.

Graph the function.

(Score for Question 4: ___ of 6 points)

Julissa can unload a ship’s cargo twice as fast as Chris. Together, they can unload the cargo in 4 hours. How long would it take each of them working alone to unload the cargo?

2

5

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fx

x

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4

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2

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