# Worksheet: Graphs of Rational Functions

In this worksheet, we will practice sketching the graphs of simple rational functions and identify simple rational functions from their graphs.

**Q2: **

If a rational function has a horizontal asymptote, then the degree of the numerator is at most the degree of the denominator. Is this true or false?

- A false
- B true

**Q5: **

The graph shows . A single point is marked on the graph. What are the values of the constants , , and ?

- A , ,
- B , ,
- C , ,
- D , ,
- E , ,

**Q6: **

The graph of has vertical asymptotes at , 1, and 3. Which of the following is this graph?

- A(a)
- B(d)
- C(c)
- D(b)

**Q7: **

The figure shows the graph of .

Which of the following could be?

- A
- B
- C
- D
- E

**Q10: **

The graph of a rational function must have a vertical asymptote. Is this true or false?

- A true
- B false

**Q11: **

Here are the graphs of and , which have all the same asymptotes.

Which one is ?

- A ((a))
- B ((b))

**Q12: **

Which of the following is the graph of ?

- A(a)
- B(d)
- C(c)
- D(b)

**Q13: **

Which of the following is the graph of ?

- A
- B
- C
- D

**Q14: **

Which of the following is the graph of ?

- A (d)
- B (a)
- C (b)
- D (c)

**Q15: **

Which of the following is the equation of the rational function graphed below?