Name:    Relations and Functions

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1

Make a mapping diagram for the relation.
{(–3, 3), (1, –6), (2, 2), (5, –5)}
 a c b d

2

Use the vertical-line test to determine which graph represents a function.
 a c b d

3

For , .
 a –19 b 1 c –21 d 21

4

Graph the given relation or equation and find the domain and range. Then determine whether the relation or equation is a function.
(3.2, 5.2), (–1.8, 5.2), (–4.8, 3.2), (–4.8, –2.8)
 a Domain: {–4.8, –1.8, 3.2}Range: {–2.8, 3.2, 5.2}The equation is a function. c Domain: {–4.8, 5.2, 3.2}Range: {–2.8, 3.2, –1.8}The equation is not a function. b Domain: {–2.8, 3.2, 5.2}Range: {–4.8, –1.8, 3.2}The equation is a function. d Domain: {–4.8, –1.8, 3.2}Range: {–2.8, 3.2, 5.2}The equation is not a function.

5

Find the value of f(4) and g(–10) if f(x) = –8x 8 and g(x) = 2x2 – 22x.
 a f(4) = –24g(–10) = –2208 c f(4) = 80g(–10) = 8 b f(4) = –40g(–10) = 420 d f(4) = –16g(–10) = 102