Module 1 Vocab

Question 1

Relation

Answer 1

No rules! Any set of ordered pairs (x,y)

Question 2

Function

Answer 2

A relation in which each x-coordinate has exactly one y-coordinate (vertical line test)

Question 3

One-to-one function

Answer 3

A function for which each y-coordinate has exactly one x-coordinate (horizontal line test)

Question 4

Domain

Answer 4

The set of inputs (x-coordinates) of a relation or function

Question 5

Range

Answer 5

The set of outputs (y-coordinates) of a relation or function

Question 6

Set builder notation

Answer 6

Rebuild a set of numbers by using a bracket and the variable {x|x€lR}

Question 7

U

Answer 7

Union of two sets, used when a domain and range are discontinuous

Question 8

Interval notation

Answer 8

We just write the beginning and ending numbers of the interval;
[ ] square bracket when we want to include the end value
OR
( ) round bracket when we don’t

Question 9

Continuous

Answer 9

No gaps or breaks in the graph

Question 10

Discrete

Answer 10

Made up of individual points (not connected)

Question 11

Discontinuous

Answer 11

A broken continuous segment

Question 12

Linear Function

Answer 12

Only raised to the power of 1
Single straight line
Written in form y=mx+b

Question 13

Function notation

Answer 13

f(x) / g(x)
Ex. f(x)= 2x+7 which is the same as y=2x+7 (just the technical way to write y)

Question 14

Intercept

Answer 14

A point where the graph of a function intersects an axis (x-int., y-int.)

Question 15

Point symmetry

Answer 15

Function is rotated about a point and maps onto itself

Question 16

Odd function

Answer 16

Point symmetry that rotates about the origin

Question 17

Line symmetry

Answer 17

Function reflects on a vertical line

Question 18

Even function

Answer 18

Line symmetry where the line of symmetry is on the y-axis

Question 19

Extrema

Answer 19

The minimum and maximum values of a function

Question 20

Relative maximum

Answer 20

Point on a graph with no higher y-coordinate

Question 21

Relative minimum

Answer 21

Point on a graph with no lesser y-coordinate

Question 22

End behavior

Answer 22

Behavior of a graph as X or Y approaches positive or negative infinity
Ex. As x -> ♾️ , f(x) -> ➖♾️ ( f(x) represents y end behavior)