CS代考 Chapter 2 Practice

Chapter 2 Practice
Use the function to evaluate the indicated expressions and/or simplify. 1. fx2×2 x12;find f(a5)
2 . h  x    3 x 2  1 i f x   1 5x2 if x1
a) Find h0

b) Find h1
c) Findh2
Find the domain of the function in interval notation.
3. hxx3 x8
5. gx x3 x2 9
7. vx 4
4. fx 4x
6. rx x3 x5
Name: ______________
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Chapter 2 Practice
8. Answer the following questions:
Name: ______________
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Chapter 2 Practice
Sketch the graph of the piecewise defined function.
  2 if x  3 11. fxx1 if3x0
 x 2 i f x  0
Name: ______________
12. For gxx21
a) Describe the transformations on the graph.
b) Sketch the graph of the function by applying transformations to the graph of the standard function.
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Chapter 2 Practice
2 gx2x1 4
a) Describe the transformations on the graph.
b) Sketch the graph of the function by applying transformations to the graph of the standard function.
Name: ______________
fx12 x12
a) Describe the transformations on the graph.
b) Sketch the graph of the function by applying transformations to the graph of the standard function.
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Chapter 2 Practice
A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph.
15. fx x
The graph is reflected in x-axis, compressed vertically by a factor of 1⁄2 , right 40 units, up 90 units.
Use fxx2 5x1and gx32xtoevaluateand/orsimplifytheexpression. 16.Findf gx.
17. Findf g1. 18. Find g  f x
19. Find gg2 20. Find fg1
21.f gx 22. fg(2)
23. Domain of f: _________
24. Domain of g: ________
25. Domain of f + g, f – g, fg: __________ 26. Domain of f/g: __________
27. Domain of f  gx: _________
28. Domain of g  f x: _________
Name: ______________
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Chapter 2 Practice
29. Find the difference quotient of the function f.
Thatis,find fxh fx. Usethefunction fx5x3
30. Find the difference quotient of the function f.
Thatis,find fxh fx. Usethefunction fxx2 3x2 h
Name: ______________
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Chapter 2 Practice
32. Find all information below for the graph of the function.
Find f (3). _______________
Find f (-3). ______________________________ Find f (6). _____________________________
Find the domain of f in interval notation: _______________________________
Find the range of f in interval notation: ______________________________________________
Name the intervals where f is INCREASING. ___________________________________________ Name the intervals where f is DECREASING. ____________________________________________
Name the intervals where f is CONSTANT. ____________________________________________ Find all value(s) for x where f (x)  2. ____________________________________________
Name: ______________
The point (-1, 3) lies on the graph of f. What would that point become on the graph of _____________________________
The point (-1, 3) lies on the graph of f. What would that point become on the graph of _____________________________
The point (-1, 3) lies on the graph of f. What would that point become on the graph of _____________________________
1 y  f 3 x?
y  3 f x?
y  f x  5?
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Chapter 2 Practice
33. The graph of a function y = f(x) is shown below. No formula for f is given. Make a graph of y f(x5).
34. The graph of a function y = f(x) is shown below. No formula for f is given. Make a graph of y f(x)1.
35. The graph of a function y = f(x) is shown below. No formula for f is given. Make a graph of y f(2x).
Name: ______________
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Chapter 2 Practice
36. The graph of the function f is shown to the left. Which of the following represents the graphof gxf(x)3?
Name: ______________
37. The graph of the function f is shown to the left. Which of the following represents the graphof gx2f(x)3?
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