Ch. 1 Functions And Models

Question 1

A rule that assigns to each element x in a set D exactly one element, called f(x), in a set E.

Answer 1

A function f

Question 2

Each element x in a set D that is assigned one element, called f(x).

Answer 2

Domain

Question 3

The set of all possible values of f(x) as x varies throughout the domain.

Answer 3

Range

Question 4

A symbol that represents an arbitrary number in the domain of a function f is called:

Answer 4

Independent variable

Question 5

A symbol that represents a number in the range of f is called a:

Answer 5

Dependent variable

Question 6

Difference quotient

Answer 6

[f(a+h)-f(a)]/h

Question 7

Four ways to represent a function

Answer 7

1. Verbally
2. Numerically
3. Visually
4. Algebraically

Question 8

A curve in the day-plane is the graph of a function of x if and only if no vertical line intersects the curve more than once.

Answer 8

Vertical line test

Question 9

The distance from some number a to 0 on the real number line

Answer 9

Absolute value of a

Question 10

If f(-x)=f(x) the function is an:

Answer 10

Even function

Question 11

If f(-x)=-f(x) the function is an:

Answer 11

Odd function

Question 12

The graph of an even function is symmetrical about the:

Answer 12

Y-axis

Question 13

The graph of an odd function is symmetrical about the:

Answer 13

Origin

Question 14

A mathematical description (often by means of a function or an equation)of a real-world phenomenon such as the size of a population, the demand for a product, or the concentration of a product in a chemical reaction.

Answer 14

Mathematical model