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Flashcards in Features of Functions Deck (17)
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1

Increasing Relation

As values of x get larger, values of y get larger.

2

Decreasing Relation

As values of x get larger, values of y get smaller.

3

Domain

The set of all possible x values {x:x .......}. The set of all of the inputs.

4

Range

The set of all possible y values {y:y .......}. The set of all of the inputs.

5

x- Intercepts

The places where a graph crosses the x axis. (the values of x when y = 0).

6

y- intercepts

The places where the graph crosses the y axis. (the values of y when x = 0).

7

Rate of Change

The slope, the m (measure of change).

8

Maximum

The largest value of y on a graph.

9

Minimum

The smallest value of y on a graph.

10

Discrete function

A function whose graph is NOT continuous

11

Continuous function

A function whose graph has no breaks or holes in it.

12

Function

A relation in which every member of the domain (input) maps to one and only one member of the range (output).

13

Set Notation

A Set is a collection of things (usually numbers). Example: {5, 7, 11} is a set.

We can also "build" aset by describing what is in it. "The set of all x's, such that x is greater than 0" can be written:

 

14

A specific set:

"the set of all x's that are a member of the Real Numbers, such that x is greater than or equal to 3"

15

Interval Notation (a,b]

When using interval notation,

the symbol:     (      means "not included" or "open".

the symbol:   [    means "included" or "closed".

16

Interval Notation: Open Interval: 

Open Interval: (a, b) is interpreted as a < x < b,     where the endpoints are NOT included.


(While this notation resembles an ordered pair, in this context it refers to the interval upon which you are working.)

17

Interval Notation: Closed Interval 

Closed Interval [a, b] is interpreted as a < x < b  where the endpoints are included.