# allied mat120 module 5 check your understanding latest 2015

Question

mod 5

Find the intervals over which f is increasing.

a. (–?, –2], [1, ?)

b. (–3, ?)

c. (–?, –3], [1, ?)

d. None

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.

a.

b.

c.

d.

Hint: Sections 3.1-3.3

Indicate whether the table defines a function.

a. Function

b. Not a function

Hint: Sections 3.1-3.3

?

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

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

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

Hint: Sections 3.1-3.3

?

Find the domain of f.

a. (–?, ?)

b. (–?, –3) (1, ?)

c. (–?, –2) (–2, ?)

d. (–?, –2) (1, ?)

?

raph 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.

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.

a.

b.

c.

d.

Hint: Sections 3.1-3.3

Evaluate f(11).

a. 11

b. 7

c. 12

d. –2

Hint: Sections 3.1-3.3

ndicate whether the table defines a function.

a. Function

b. Not a function

Hint: Sections 3.1-3.3

Graph h(x) = f(x) – 2.

a.

b.

c.

d.

Hint: Sections 3.1-3.3

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

Hint: Sections 3.1-3.3

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

raph y = (x – 2)2 + 1

a.

b.

c.

d.

Indicate whether the graph is the graph of a function.

a. Function

b. Not a function

Hint: Sections 3.1-3.3

Evaluate f(–10).

a. –10

b. 8

c. –9

d. –3

Hint:Sections 3.1-

Find the range of f.

a. (–?, ?)

b. (–?, –3] (1, ?)

c. (–?, –3] [1, ?)

d. (–?, –3) (1, ?)

Hint: Sections 3.1-3.3

SLO4:Graph func

Find the domain of f.

a. {x | x 3, 5}

b. {x | x 3}

c. {x | x 5}

d. All real numbers

?

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

a.

b.

c.

d.

Hint: Sections 3.1-3.3

Indicate whether the graph is the graph of a function.

a. Function

b. Not a function

Hint: Sections 3.1-3.

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

Find the y-intercept.

a.

b. –

c. –1

d. None

?

Graph h(x) = f(x – 2).

a.

b.

c.

d.

Hint:Sections 3.1-3.3

Find the value of f(3) if f(x) = 4×2 + x.

a. 38

b. 39

c. 40

d. 41

Hint: Sections 3.1-3.3

?

Find the intervals over which f is constant.

a. (–3, 1)

b. (–3, 1]

c. (–2, 1]

d. None

?

Evaluate f(3).

a. 3

b. 2

c. 4

d. 5

?

Find the x-intercept.

a. –

b. 3

c. 2

d. None

Find the x-intercept(s).

a. –2

b. 1, –3

c. –3

d. None

?

Determine whether the function is even, odd, or neither. f(x) = x4 + 3×2

a. Even

b. Odd

c. Neither

Hint: Sections 3.1-3.3

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