Features of Functions Flashcards Preview

9th Grade Math > Features of Functions > Flashcards

Flashcards in Features of Functions Deck (17)
Loading flashcards...
1
Q

Increasing Relation

A

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

2
Q

Decreasing Relation

A

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

3
Q

Domain

A

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

4
Q

Range

A

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

5
Q

x- Intercepts

A

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

6
Q

y- intercepts

A

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

7
Q

Rate of Change

A

The slope, the m (measure of change).

8
Q

Maximum

A

The largest value of y on a graph.

9
Q

Minimum

A

The smallest value of y on a graph.

10
Q

Discrete function

A

A function whose graph is NOT continuous

11
Q

Continuous function

A

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

12
Q

Function

A

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

13
Q

Set Notation

A

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
Q

A specific set:

A

“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
Q

Interval Notation (a,b]

A

When using interval notation,

the symbol: ( means “not included” or “open”.

the symbol: [ means “included” or “closed”.

16
Q

Interval Notation: Open Interval:

A

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
Q

Interval Notation: Closed Interval

A

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