Algebra Quiz

darell7

module_5_quiz.docx

Home >Mathematics homework help >Algebra homework help >Algebra Quiz

MODULE 5 Quiz

Question

Find the domain of the function. Express your answer in interval notation.

Indicate whether the graph is the graph of a function.

a. Function

b. Not a function

Graph f(x) = |x – 1|.

Determine whether the function is even, odd, or neither. f(x) = x5 + 4

a. Even

b. Odd

c. Neither

Find the value of f(3) if f(x) = 4x2 + x.

a. 38

b. 39

c. 40

d. 41

Use the graph of the function to estimate: (a) f(–6), (b) f(1), (c) All x such that f(x) = 3

a. (a) 4 (b) 3 (c) –5, 1

b. (a) 5 (b) 4 (c) –3, 1

c. (a) 1 (b) 2 (c) –5, 2

d. (a) 7 (b) 5 (c) –5, 6

The graph of the function g is formed by applying the indicated sequence of transformations to the given function f. Find an equation for the function g. The graph of is horizontally stretched by a factor of 0.1, reflected in the y axis, and shifted four units to the left.

Evaluate f(–1).

a. –1

b. 8

c. 0

d. –2

Determine whether the function is even, odd, or neither. f(x) = x3 – 10x

a. Even

b. Odd

c. Neither

10.

Indicate whether the graph is the graph of a function.

a. Function

b. Not a function

11.

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

12.

Graph y = (x – 2)2 + 1

13.

Find the y-intercept(s).

a. –2

b. 1, –3

c. –3

d. None

14.

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

15.

Determine whether the function is even, odd, or neither. f(x) = –4x2 + 5x + 3

a. Even

b. Odd

c. Neither

16.

Indicate whether the table defines a function.

a. Function

b. Not a function

17.

Use the graph of the function to estimate: (a) f(1), (b) f(–5),and (c) All x such that f(x) = 3

a. (a) –3 (b) –9 (c) 7

b. (a) –3 (b) –9 (c) –1

c. (a) 5 (b) –1 (c) 7

d. (a) 5 (b) –1 (c) –1

18.

Find the intervals over which f is increasing.

a. (–∞, –2], [1, ∞)

b. (–3, ∞)

c. (–∞, –3], [1, ∞)

d. None

19.

Evaluate f(4).

a. 4

b. 10

c. 5

d. –2

20.

Indicate whether the graph is the graph of a function.

a. Function

b. Not a function

21.

Sketch the graph of the function f(x) = –2x + 3.

22.

Find the intervals over which f is decreasing.

a. (–∞, –2), [1, ∞)

b. (–∞, –2], [1, ∞)

c. (–∞, –3), [1, ∞)

d. (–∞, –3], [1, ∞)

23.

Indicate whether the table defines a function.

a. Function

b. Not a function

24.

Indicate whether the graph is the graph of a function.

a. Function

b. Not a function

25.

Evaluate f(–10).

a. –10

b. 8

c. –9

d. –3

26.

Indicate whether the set defines a function. If it does, state the domain and range of the function. {(3, 8), (3, 9), (3, 10), (3, 11)}

a. Not a function

b. A function; Domain = {3}; Range = {8, 9, 10, 11}

c. A function; Domain = {8, 9, 10, 11}; Range = {3}

d. A function; Domain = {8, 9, 10, 11}; Range = {8, 9, 10, 11}

27.

Find the range of f.

a. (–∞, ∞)

b. (–∞, –3] (1, ∞)

c. (–∞, –3] [1, ∞)

d. (–∞, –3) (1, ∞)

28.

Find the y-intercept.

b. -

c. –1

d. None

29.

The graph of the function g is formed by applying the indicated sequence of transformations to the given function f. Find an equation for the function g. The graph of f(x) = is shifted two units to the left and five units down.

30.

Evaluate f(11).

a. 11

b. 7

c. 12

d. –2