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To: Trapasso, Tyler FT 2013 GRAD@Beacon High School

Date: Friday, January 25, 2013

Re: Home > New Algebra I (2010 Edition) Semester 2

New Algebra I (2010 Edition) Semester 2

anyteacher and Mrs. Darrow

Submission 30: Graphing Exponential Functions and Interpreting Graphs

You have looked at it once before. There are 25 questions worth 28 points.

Part

1

Select the best answer from the choices provided. (Each question is worth one point

)

1. In order to find the _____ of the graph of a function, be sure to determine how far up and down the graph goes.

domain asymptote

function range

2. A relative _____ of a function is not the necessarily the greatest value of f on the domain, but it is definitely the greatest y-value on a particular interval of the domain.

minimum decay

growth maximum

3. The range is the set of all _____.

a-values r-values

x-values y-values

4. A relative _____ of a function is the smallest y-value on a particular interval of the domain.

maximum growth

minimum decay

5. The graph of a function is said to be _____ when it has no gaps or holes and can be created without removing the pencil from the paper.

discontinuous continuous

irregular negative

6. Which of the following points represents a relative maximum in the graph below?

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A D

E F

7. Which of the following points represents a relative maximum in the graph below?

A B

C D

8. Which of the following points represents a relative minimum in the graph below?

A C

D F

9. Which of the following points represents a relative minimum in the graph below?

A B

C D

10. Which of the following graphs comes from a function that is constant on the region from B to C?

11. Which of the following graphs comes from a function that is increasing on the region from B to D?

12. Which of the statements is true about the function on the region from D to F based on the following graph?

The function is decreasing. The rate of change is increasing.

The rate of change is decreasing. None of these statements apply to the region.

13. Which of the following statements about the function on the region from B to D in the graph below is true?

The function is decreasing. The function is increasing.

The rate of change is decreasing. None of these statements apply to the region.

14. Choose the point at which the rate of change is the greatest in the following graph.

C D

G I

15. Choose the point at which the rate of change is the greatest in the following graph.

A B

C D

16.

Which of the following is the graph of f(x) =

(

1

)

x

– 4 ?

3

17. Which of the following is the graph of f(x) = 3x – 7 ?

18. Which of the following is the graph of f(x) = 2x – 4 ?

Part 2

Select the best answer from the choices provided. (Each question is worth one point)

19. Which of the following is the graph of f(x) = 4x + 1 + 2 ?

20. Which of the following is the equation of the horizontal asymptote of the graph of f(x) = 5x – 2 + 6 ?

y = 6 y = 5

x = 0 x = 2

21.

Which of the following is the equation of the horizontal asymptote of the graph of f(x) = (

1

)

x+2

– 3 ?

3

x = -2 x = 0

y =

1

3

y = -3

22. Which of the following is the equation of the horizontal asymptote of the graph of f(x) = 7x + 3 – 8 ?

x = 0 x = -3

y = 7 y = -8

Part 3

Type the answer to the question in the textbox below each item. (Each question is worth two points)

23. Describe what is happening in the interval from A to C. Include information about rate of change (is it positive or negative, getting closer to zero or further from

zero), relative maximums or minimums, and increasing/decreasing/constant intervals. Use the labeled points for explanations.

24. Describe what is happening in the interval from E to G. Include information about rate of change, relative maximums or minimums, and

increasing/decreasing/constant functions. Use the labeled points for explanations.

25. Describe what is happening in the interval from C to E. Include information about rate of change, relative maximums or minimums, and

increasing/decreasing/constant functions. Use the labeled points for explanations.

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