THK M5 2.5 Function Notation

Multiple Choice

Let T be the relation in the set N given by T = {(a, b) : a = b + 1, b > 10}. Which of the following statements are correct?

• Domain: {x : x ≥ 9}

• Domain: {x : x ≥ 10}

• Domain: {x : x > 12}

• Domain: {x : x ≥ 12}

Multiple Choice

What are the domain and range of the relation {(5, 3), (−1, 3), (−5, 1)}? Is the relation a function? Choose yes or no.

• D = {−5, −1, 5}; R = {3, 1}; no

• D = {3, 1}; R = {5, −1, −5}; no

• D = {3, 1}; R = {5, −1, −5}; yes

• D = {−5, −1, 5}; R = {1, 3}; yes

Multiple Choice

Consider set A = {4, 5, 7, 10} and set B = {5, 10, 16, 20, 24}, where a ∈ A and b ∈ B. Which of the following is the set of the ordered pairs when ‘b’ is multiple of ‘a’ and a < b?

• {(4, 16), (4, 20), (4, 24), (5, 5), (5, 10), (5, 20), (10, 10), (10, 20)}

• {(4, 16), (4, 20), (4, 24), (5, 10), (5, 20), (10, 20)}

• {(4, 16), (4, 20), (4, 24), (5, 10), (5, 20), (7, 24), (10, 20)}

• {(10, 5), (16, 4), (20, 10), (20, 5), (20, 4), (24, 4)}

Multiple Choice

Which of the following correctly identifies the domain and range of the graph?

Multiple Select

What is the domain and the range of the function graphed? Select all possible answer.

• Domain {x : x ∈ R}

• Domain {x : x ≥ 2}

• Range {y : −2 ≤ y ≤ 2}

• Range {y : y ≥ 2}

• Range {y : y ∈ R}

Functions

Objectives

• Evaluate and graph functions.

Vocabulary

• function notation

Function Notation

Some sets of ordered pairs can be described by using an equation. When the set of ordered pairs described by an equation satisfies the definition of a function, the equation can be written in function notation.

Multiple Choice

For the function f(x), evaluate f(0.5).

 $x^2\ –\ 4x$  

•  $-\frac{9}{4}$  

•  $-\frac{7}{4}$  

•  $\frac{1}{4}$  

•  $\frac{9}{4}$  

Multiple Choice

Evaluate f (0).

• –1

• 0

• 1

• 4

Multiple Choice

The graph of f(x) is shown below. If g(x) = –f(x) – 10, what is g(4)?

• –14

• –6

• –10

• 4

Multiple Choice

If f(a) = 4, then use the table to find f(a – 5).

• a) –14

• b) –4

• c) –1

• d) 16

Multiple Choice

Evaluate f(-2).

• -1

• 0

• 1

• 2

Multiple Choice

Graph the function f(x) = 2x + 1.