MAT 120 WEEK 5 QUIZ
1 Graph h x f x 2
a
b
c
d
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.
2. Graph h(x) = f(x - 2).
a.
b.
c.
d.
Hint:Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4M:Perform operations on functions.
3. Sketch the graph of the function f(x) = -2x + 3.
a.
b.
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4J:Graph functions.
4. Determine whether the function is even, odd, or neither. f(x) = -4x2 + 5x + 3
a. Even
b. Odd
c. Neither
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4N:Determine if functions are even, odd, or neither.
5. Indicate whether the table defines a function.
a. Function
b. Not a function
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4H:Determine whether a correspondence is a function and fine the domain and range of a function.
6. Determine the function represented by the graph.
a. f(x) = |x + 3| + 1
b. f(x) = |x - 3| + 1
c. f(x) = |x + 1| + 3
d. f(x) = |x - 1| + 3
Hint:Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4J:Graph functions.
LO4M:Perform operations on functions.
7. Determine whether the correspondence defines a function. Let F be the set of all faculty teaching Chemistry 101 at a university, and let S be the set of all students taking that course. Students from set S correspond to their Chemistry 101 instructors.
a. A function
b. Not a function
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4H:Determine whether a correspondence is a function and fine the domain and range of a function.
8. Evaluate f(11).
a. 11
b. 7
c. 12
d. -2
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4I:Evaluate a function at a specified value.
9. Find the range of f.
a. (-∞, ∞)
b. (-∞, -3] (1, ∞)
c. (-∞, -3] [1, ∞)
d. (-∞, -3) (1, ∞)
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4H:Determine whether a correspondence is a function and fine the domain and range of a function.
10. Indicate whether the set defines a function. If it does, state the domain and range of the function. {(9, 5), (10, 5), (11, 5), (12, 5)}
a. A function; Domain = {5}; Range = {5}
b. A function; Domain = {5}; Range = {9, 10, 11, 12}
c. A function; Domain = {9, 10, 11, 12}; Range = {5}
d. Not a function
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4H:Determine whether a correspondence is a function and fine the domain and range of a function.
11. Indicate whether the graph is the graph of a function.
a. Function
b. Not a function
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4H:Determine whether a correspondence is a function and fine the domain and range of a function.
12. Find the domain of the function. Express your answer in interval notation.
a.
b.
c.
d.
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4H:Determine whether a correspondence is a function and fine the domain and range of a function.
13. Find the y-intercept(s).
a. -2
b. 1, -3
c. -3
d. None
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4K:Determine the x and y intercepts of a function.
14. Find the x-intercept.
a. -
b. 3
c. 2
d. None
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4K:Determine the x and y intercepts of a function.
15. Determine whether the function is even, odd, or neither. f(x) = x3 - 10x
a. Even
b. Odd
c. Neither
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4N:Determine if functions are even, odd, or neither.
16. Determine whether the function is even, odd, or neither. f(x) = x4 - 8
a. Even
b. Odd
c. Neither
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4N:Determine if functions are even, odd, or neither.
17. Indicate whether the table defines a function.
a. Function
b. Not a function
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4H:Determine whether a correspondence is a function and fine the domain and range of a function.
18. Graph f(x) = |x - 1|.
a.
b.
c.
d.
Hint:Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4J:Graph functions.
LO4M:Perform operations on functions.
19. Find the value of f(3) if f(x) = 4x2 + x.
a. 38
b. 39
c. 40
d. 41
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4I:Evaluate a function at a specified value.
20. Indicate whether the graph is the graph of a function.
a. Function
b. Not a function
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4H:Determine whether a correspondence is a function and fine the domain and range of a function.
21. Find the intervals over which f is decreasing.
a. (-∞, -2), [1, ∞)
b. (-∞, -2], [1, ∞)
c. (-∞, -3), [1, ∞)
d. (-∞, -3], [1, ∞)
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4L:Determine the intervals where a function is increasing, decreasing, or constant.
22. Graph y = (x - 2)2 + 1
a.
b.
c.
d.
Hint:Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4J:Graph functions.
LO4M:Perform operations on functions.
23. Determine whether the equation defines a function with independent variable x. If it does, find the domain. If it does not, find a value of x to which there corresponds more than one value of y. x|y| = x + 5
a. A function with domain all real numbers
b. A function with domain all real numbers except 0
c. Not a function: when x = 0, y = ±5
d. Not a function: when x = 1, y = ±6
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4I:Evaluate a function at a specified value.
24. Determine whether the function is even, odd, or neither. f(x) = x4 + 3x2
a. Even
b. Odd
c. Neither
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4N:Determine if functions are even, odd, or neither.
25. Determine whether the function is even, odd, or neither. f(x) = x5 + 4
a. Even
b. Odd
c. Neither
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4N:Determine if functions are even, odd, or neither.
26. Indicate whether the graph is the graph of a function.
a. Function
b. Not a function
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4H:Determine whether a correspondence is a function and fine the domain and range of a function.
27. Find the domain of f.
a. {x | x 3, 5}
b. {x | x 3}
c. {x | x 5}
d. All real numbers
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4H:Determine whether a correspondence is a function and fine the domain and range of a function.
28. Evaluate f(-10).
a. -10
b. 8
c. -9
d. -3
Hint:Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4I:Evaluate a function at a specified value.
29. Evaluate f(4).
a. 4
b. 10
c. 5
d. -2
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4I:Evaluate a function at a specified value.
30. Find the intervals over which f is increasing.
a. (-∞, -2], [1, ∞)
b. (-3, ∞)
c. (-∞, -3], [1, ∞)
d. None
Hint: Sections 3.1-3.3
SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.
LO4L:Determine the intervals where a function is increasing, decreasing, or constant.