Chapter 8, Functions

Vocabulary

100

the x-coordinate of the point where a graph crosses the x-axis

What is x-intercept?

200

A special relation in which each element of the domain is paired with exactly one element of the range

What is a function?

300

the ratio of vertical change to horizontal change for a line; rise over run

What is slope

400

A sequence in which the difference between consecutive terms is the same

(Double Jeopardy)

What is an arithmetic sequence?

500

This states that a relation is a function if every possible vertical line touches at most one point on the graph of the relation.

What is the Vertical Line Test?

Relations and Function Notation

100

Function or not a function?

{(2,8), (-2,9), (6,9), (-3,4)}

What is function?

200

Function or not a function?

{(-2,18), (-3,9), (6,9), (-3,4)}

What is not a function?

300

f(x) = x² + 6

f(0)= _____

(Double Jeopardy)

What is 6?

400

g(x) = -3x - 11

g(-2)= _____

What is -5?

500

f(x) = 2x + 5 and g(x) = 3x - 4

g(f(0)) _____

(Double Jeopardy)

What is 11?

Arithmetic Sequences

100

The common difference in the arithmetic sequence:

-12, -5, 2, 9, ...

What is 7?

200

The common difference in the arithmetic sequence:

20, 18, 16, 14,...

What is -2?

300

The equation that describes the arithmetic sequence:

15, 20, 25, 30, ...

(Double Jeopardy)

What is t_n=5n + 10 ?

400

The equation that describes the arithmetic sequence:

27, 24, 21, 18, ...

What is t_n = -3n + 30 ?

500

The 100th term in the sequence:

8, 12, 16, 20, 24,...

What is 404?

Rate of Change

100

Calculate the rate of change:

#of hours     earnings in $

5                 $41.25

7                 $57.75

9                 $74.25

(Double Jeopardy)

What is $8.25/ 1 hour ?

200

If the rate of change is the same for all ordered pairs in a set, the graph will form this.

What is a line?

300

The slope of the line through points (2, 9) and (5, 8)

What is -1/3 ?

400

The slope of the line through points (8,9) and (8,-2)

What is "undefined" or "no slope"?

500

The slope of the line parallel to the line containing the points (5, -8) and (11, -10)

What is -1/3?

(Parallel lines have the same slope!)

Direct Variation

100

y varies directly with x. 

If y=8, when x=4, state the direct variation equation.

What is y=2x ?

200

y varies directly with x. 

If y= -20 when x=2, state the constant of variation.

What is -10?

300

y varies directly with x. 

If y=8, when x=4, find y when x=-7.

What is -14?

400

y varies directly with x. 

If y=24, when x=-6, find y when x=-5.

What is 20?

500

y varies directly with x. 

If y=4, when x=8, find y when x=76.

(Double Jeopardy)

What is 38?