F.IF.7E [579554]StudentClassDate

1. Which graph represents a function that has an amplitude of 1 and a period of

A.

B.

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C.

D.

2. The exponential graph, f(x), is shown below.

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Which statement best describes f(x)?

A. The function increases at a rate of 104%.

B. The function increases at a rate of 14%.

C. The function increases at a rate of 4%.

D. The function increases at a rate of 1.4%.

3. Which is an equation of the function graphed below?

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A.

B.

C.

D.

4. Which is an equation of the function graphed below?

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A. y = 2x + 2

B. y = –2x + 4

C. y = 2(2)x + 2

D. y = –2(2)x + 4

5. Graph the function  

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6. Jessica graphs a sine function that has the features listed below.

Period of 

Amplitude of 4

Midline of

She claims that the function has all of these features. Is this the correct function for the graph? Why or why not?

A. No, Jessica’s function has a period of 2.

B. No, Jessica’s function has a period of 4 and an amplitude of .

C. No, Jessica’s function has an amplitude of 3 and a midline of .

D. Yes, Jessica’s function has a period of , an amplitude of 4, and a midline of .

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7.

Weather Patterns

Most cities in the northern part of the United States experience fewer hours of sunlight in the winter and more hours of sunlight in the summer. The table below lists the number of hours of sunlight in Boston for some dates in 2012 and 2013.

   

Part A. Graph the data on a coordinate plane. Label the key features on your graph. Make sure to include the maxima, minima, amplitude, midline, and period. 

Part B. What kind of function would you use to model the data? Explain your reasoning.

Part C. Write a function that models the average monthly high temperature for Boston in 2012 and 2013.

Part D. Explain how you built your function equation in part C.

Part E. Cities in the southern part of the United States see less of a dramatic difference in the number of hours of light in winter days compared with summer days. In Miami in 2013, the longest day of sunlight lasted 13 hours 45 minutes and 3 seconds on June 20. The shortest day of

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sunlight was December 21, with 10 hours 31 minutes and 44 seconds. If you were to graph the hours of daylight for Miami, what features would be different from the graph for Boston? How would these features be different? What features would stay the same?

Part F. Write a function that could model the number of hours of daylight in Miami. Explain how you developed your equation.

8. Which graph shows two sinusoidal functions with the same period, but with different amplitudes?

A.

B.

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C.

D.

9. Which graph best displays an initial population of 30 cows that is doubling every 5 years?

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A.

B.

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C.

D.

10. Which is an equation of the function graphed below?

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A. f(x) = –2x + 4

B. f(x) = –2x + 5

C. f(x) = –2x + 4

D. f(x) = –2x + 5

11. Which graph shows the function

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A.

B.

C.

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D.

12. How do the graphs of y = 2x and y = 2–x compare?

A. They are the same.

B. They are reflections of each other across the x-axis.

C. They are reflections of each other across the line y = x.

D. They are reflections of each other across the y-axis.

13. Which graph best represents the function 

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A.

B.

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C.

D.

14. Which is an equation of the function graphed below?

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A.

B.

C.

D.

15. What is the y-intercept for the graph of the function f(x) = 30(1.05)x?

A. 0

B. 1

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C. 5

D. 30

16. Which is an equation of the function graphed below?

A. y = 2x – 1 + 3

B. y = 2x + 1 – 3

C. y = 3x – 1 + 2

D. y = 3x + 1 – 2

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17. Which is an equation of the function graphed below?

A. y = 4–x

B. y = 4x

C. y = 4–x + 1

D. y = 4x + 1

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18. Which graph represents a trigonometric function with an amplitude of 2?

A.

B.

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C.

D.

19.

Which graph represents the function

A.

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B.

C.

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D.

20. Which is the graph of y = 3x?

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A.

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B.

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C.

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D.

21. Which is an equation of the function graphed below?

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A. y = 2(x + 1)

B. y = 2(x + 3)

C. y = 4(x + 1)

D. y = 4(x + 2)

22. Which is an equation of the function graphed below?

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A. y = 3x

B. y = 3x + 2

C. y = 3(2)x

D. y = 2(3)x

23. What is the x-intercept of the function:

A.

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B.

C.

D.

24. Which statement is true for the graph of the equation

A. The graph has no x-intercept or y-intercept.

B. The graph intersects the x-axis at but has no y-intercept.

C. The graph intersects the y-axis at but has no x-intercept.

D. The graph intersects the x-axis at and intersects the y-axis at

25. The graph below is a parent function for an exponential function, with base b and passing through the point

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If this parent graph is translated vertically 1 unit and passes through the points  and what is the equation for the translated graph?

26. What is the x-intercept of the function y = 4(2)x – 16?

A. (–16, 0)

B. (–8, 0)

C. (2, 0)

D. (4, 0)

27. Which function is graphed below?

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A. f(x) = 2(x – 2)

B. f(x) = 2x  – 2

C. f(x) = 2(x – 1)

D. f(x) = 2x – 1

28. Which graph represents the function

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A.

B.

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C.

D.

29.Which describes the end behaviors of the graph of ?

A. as and as

B. as   and as

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C. as   and as

D. as and as

30. Which exponential function represents the graph?

A. f(x) = –2x

B. f(x) = 2x

C. f(x) = 2(–2)x

D. f(x) = –2(2)x

31. Which is the graph of y = –2(2)x?

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A.

B.

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C.

D.

32. The graph displays how an investment, y, increases 5% every 12 days, x.

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Which equation best represents the graph?

A.

B.

C.

D.

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33. What is the horizontal asymptote of the graph of the function

34. What is the y-intercept of the graph of f(x) = 2(1.5)x + 3?

A. 2

B. 3

C. 4

D. 5

35. The graph below is of the form where a, b, and c are non-zero real numbers.

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Which values best approximate the values of a and b?

A.

B.

C.

D.

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36. Which coordinate graph shows an exponential function with an x-intercept of and a y-intercept of

A.

B.

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C.

D.

37. What is the end behavior of the graph shown below?

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A.

B.

C.

D.

38. What is the y-intercept of the graph of y = 100(2)x – 5?

A. (0, –5)

B. (0, 45)

C. (0, 95)

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D. (0, 195)

39. Part A. Make a table of values for the function  and use the table to graph on the coordinate plane below.

Part B. Explain how the ordered pairs of   can be used to graph  Use the method you described to graph  on the

coordinate grid below.

Use words, numbers, and/or pictures to show your work.

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40.Which graph represents the equation

A.

B.

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C.

D.

41. Which equation, when graphed, is an exponential growth function with a y-intercept at 2?

A. y = 2x

B. y = 2(2)x

C. y = 2(0.5)x

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D. y = x2 + 2

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