Math 122 1.1

Question 1

Function

Answer 1

A rule that takes an input and assigns to each one, and only one, output

Question 2

Independent Variable

Answer 2

Is the input quantity (X)

Question 3

Dependent Variable

Answer 3

Is the output Quantity (y)

Question 4

Domain

Answer 4

is the set of all possible input values

Question 5

Range

Answer 5

is the set of all possible output values

Question 6

Example of Function

Answer 6

• Vending Machine
  (input: select what you want; Output: receive the product)
• Seating Assignments

Question 7

Y is

Answer 7

a function of x

Question 8

y=x

Answer 8

Identity Function
(Straight line)

Question 9

Mathematical Model

Answer 9

is a mathematical description of a real situation. For our purposes we will consider models that are functions

Question 10

y= f(t)

Answer 10

y is a function of t

Question 11

Horizontal Intercepts

Answer 11

are often called zeros or solutions of the function

Question 12

A function f is increasing

Answer 12

if the values of F(x) increase as x increases (climbs; left to right)

Question 13

A function f is decreasing

Answer 13

if the values of F(x) decrease as x Increases (Descends; left to right)

Question 14

The Rule of Four

Answer 14

• Tables
• Graphs
• Formulas
• Words

Question 15

Function Notation

Answer 15

T is the independent variable
Y is the dependent variable

Question 16

The graph of a Function has an…

Answer 16

intercept where is crosses the horizontal or vertical axis