MAT 120 WEEK 6 QUIZ

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MAT 120 WEEK 6 QUIZ

University of Phoenix / MAT 120
06 Nov 2015
Price: $20
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MAT 120 WEEK 6 QUIZ
1 Find the coordinates of the vertex. f(x) = x2 - 4x + 3
a. (1, -3)
b. (-1, -3)
c. (2, -1)
d. (-2, -1)
Hint: Sections 3.4-3.6
SLO5:Graph quadratic and inverse functions.
LO5A:Solve and graph quadratic functions.

2. Find the vertex and axis of the parabola, then draw the graph.
a.
Vertex: (-2, -5); axis: x = -2

b.
Vertex: (2, -5); axis: x = 2

c.
Vertex: (2, 5); axis: x = 2

d.
Vertex: (2, 5); axis: x = 2

Hint: Sections 3.4-3.6
SLO5:Graph quadratic and inverse functions.
LO5A:Solve and graph quadratic functions.

3. Find the inverse function f-1. f(x) = 6 +
a. f-1(x) =
b. f-1(x) =
c. f-1(x) =
d. f-1(x) =
Hint: Sections 3.4-3.6
SLO5:Graph quadratic and inverse functions.
LO5C:Find the inverse of a function.

4. Determine whether the function is one-to-one.

a. One-to-one
b. Not one-to-one
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4P:Determine if functions are one-to-one.

5. Find f - g. f(x) = and g(x) =
a. (f - g)(x) =
b. (f - g)(x) =
c. (f - g)(x) =
d. (f - g)(x) = -
Hint:Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.

6. Find the vertex form of the quadratic function f(x) = -x2 + 4x + 2.
a. f(x) = -(x + 2)2 + 6
b. f(x) = -(x - 2)2 + 6
c. f(x) = -(x - 2)2 - 6
d. f(x) = -(x + 2)2 - 6
Hint: Sections 3.4-3.6
SLO5:Graph quadratic and inverse functions.
LO5A:Solve and graph quadratic functions.

7. Find h(x) = (f + g)(x). f(x) = 4x2 - 3x + 5 and g(x) = 5x2 - 2x
a. h(x) = 9x2 - 5x + 5
b. h(x) = 8x2 + 5x + 1
c. h(x) = 8x2 + 5x - 2
d. h(x) = 5x2 + 8x - 2
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.

8. Sketch the graph. f(x) = x2 - 4x + 5
a.
b.
c.
d.
Hint: Sections 3.4-3.6
SLO5:Graph quadratic and inverse functions.
LO5A:Solve and graph quadratic functions.

9. Find (-2)

a. 0
b. 1
c. 2
d. 3
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.

10. Find the inverse function f-1. f(x) = 3x + 8
a.
b.
c.
d.
Hint: Sections 3.4-3.6
SLO5:Graph quadratic and inverse functions.
LO5C:Find the inverse of a function.

11. Determine whether the function is one-to-one. f(x) = -2x - 1
a. One-to-one
b. Not one-to-one
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4P:Determine if functions are one-to-one.

12. Find (f g)(1). and
a. 0
b. 1
c. 2
d. Undefined
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.

13. Determine whether the function is one-to-one.

14. Which of the following is a brief verbal description of the relationship between the graph of the indicated function and the graph of y = x2?
a. The graph is shifted 4 units to the right and 6 units up.
b. The graph is shifted 4 units to the right and 6 units down.
c. The graph is shifted 4 units to the left and 6 units down.
d. The graph is shifted 4 units to the left and 6 units up.
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.

15. Find the vertex and axis of the parabola, then draw the graph.

a.
Vertex: (12, 10); axis: x = 12

b.
Vertex: (12, 10); axis: x = 12

c.
Vertex: (-12, 10); axis: x = -12

d.
Vertex: (-12, 10); axis: x = -12

Hint: Sections 3.4-3.6
SLO5:Graph quadratic and inverse functions.
LO5A:Solve and graph quadratic functions.

16. Find (g(f(2)).

a. -1
b. 0
c. 1
d. 2
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.

17. Find (g f)(-6).

a. -3
b. 3
c. 2
d. -2
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.

18. Sketch the graph. f(x) = x2 - 4x + 3
a.
b.
c.
d.
Hint: Sections 3.4-3.6
SLO5:Graph quadratic and inverse functions.
LO5A:Solve and graph quadratic functions.

19. Find the equation of the axis of symmetry. f(x) = x2 - 4x + 3
a. x = 2
b. x = 1
c. x = -1
d. x = -2
Hint: Sections 3.4-3.6
SLO5:Graph quadratic and inverse functions.
LO5A:Solve and graph quadratic functions.

20. Find (g f)(-3). and
a. 4
b. 5
c. 6
d. Undefined
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.

21. Find (g - f)(1). and
a. 0
b. -3
c. 3
d. Undefined
Hint:Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.

22. Find h(x) = (g f)(x). f(x) = and g(x) = 3x - 5
a. h(x) =
b. h(x) =
c. h(x) =
d. h(x) =
Hint:Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.

23. Graph f(x) = x2 - 2x - 3.
a.
b.
c.
d.
Hint: Sections 3.4-3.6
SLO5:Graph quadratic and inverse functions.
LO5A:Solve and graph quadratic functions.

24. Determine if g is the inverse of f. f(x) = 3x - 1 g(x) =
a. Yes
b. No
Hint: Sections 3.4-3.6
SLO5:Graph quadratic and inverse functions.
LO5C:Find the inverse of a function.

25. Determine whether the function is one-to-one. f(x) =
a. One-to-one
b. Not one-to-one
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4P:Determine if functions are one-to-one.

26. Find (f - g)(2).

a. -4
b. -1
c. 0
d. -2
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.

27. Determine whether the function is one-to-one.

28. Determine whether the function is one-to-one. f(x) = 7x2 + 8
a. One-to-one
b. Not one-to-one
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4P:Determine if functions are one-to-one.

29. Find (f g)(-3).

a. 0
b. 1
c. 2
d. 3
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.

30. Graph f(x) = -x2 - 6x - 5.
a.
b.
c.
d.
Hint: Sections 3.4-3.6
SLO5:Graph quadratic and inverse functions.
LO5A:Solve and graph quadratic functions.

31. Find h(x) = (f g)(x). f(x) = and g(x) = 3x - 5
a. h(x) =
b. h(x) =
c. h(x) =
d. h(x) =
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.

32. Find the equation of the axis of symmetry. f(x) = x2 - 4x + 5
a. x = -2
b. x = -1
c. x = 1
d. x = 2
Hint: Sections 3.4-3.6
SLO5:Graph quadratic and inverse functions.
LO5A:Solve and graph quadratic functions.

33. Find (f + g)(-3). and
a. 0
b. 1
c. 2
d. Undefined
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.

34. Find the coordinates of the vertex. f(x) = x2 - 4x + 5
a. (2, 1)
b. (-2, 1)
c. (-1, 2)
d. (-1, -2)
Hint: Sections 3.4-3.6
SLO5:Graph quadratic and inverse functions.
LO5A:Solve and graph quadratic functions.

35. Find (fg)(-4).

a. -4
b. -3
c. -2
d. -1
Hint: Sections 3.4-3.6
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.

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