Vocabulary
Transformations
Vocabulary
Is It a Function?
Domain & Range
100

The family of functions that have the domain of all Real numbers and are made only of straight lines.

linear

100

y=2x - 3

Vertical stretch by a factor of 2 and translate down 2 units

100

The set of all x-values or inputs of a function.

DOMAIN

100

Is it a function? {(2, 3), (4, 5), ( -2, 6)}

YES because every input (x) has exactly one output (y).

100

Identify the domain and range of the following:

D: -2 < x < 4

R: -3 <= y <= 3

200

The point at which a graph crosses the x-axis, when the y-coordinate is equal to zero.

x-intercept

200

f(x)=|x-2|+14

translation right 2 units and up 14 units

200

The set of all y-values or outputs in a function

RANGE

200

Is it a function?

X    Y

2    4

1    6

2    6

NO; the x-value of 2 has two y-values (4 and 6).

200

What is the domain and range of the graph?

Domain: 0 <= x < infinity 

Range: -2 <= y < infinity

300

This function family is a piecewise function, 

{x<0 is y=-x

{x>=0 is y=x

Absolute Value

300

y = -1/3x2

reflection across the x-axis and vertical compression by a factor of 3

300

the ratio of change in dependent variable to change in independent variable

slope

300

Which one(s) are not functions?

B & D

300

What is the domain of the following arrow diagram?  

{-2,0,1,3}

400

The form of a linear equation that contains two important pieces of information

slope-intercept form

400

y=2|x+3|-1

vertical stretch by a factor of 2, horizontal translation left 3 units, vertical translation down 1 unit
400

The test to tell if a graphed relation is a function

VERTICAL LINE TEST

400

Is it a function?

NO; it does not pass the Vertical Line Test, for example, x = -2 has two y-values.

400

What the domain and range of the following?

D: -2 <= x <= 6      R: -6 <= y <= 2

500

The strength and direction of the relationship between two variables

correlation

500

y= -5/2x + 5

reflection across the y-axis, stretch (change slope) by a factor of 5/2, translate up 5 units

500

A linear function in which the ratio of each input to each output is a constant

direct variation

500

Give an example of a function that has been translated left 2 units, reflected across the x-axis and stretched by a factor of 2.

*answers will vary*

500

Identify the domain and range of the following graph.

Range: y=-2

Domain: -infinity < x < infinity

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