Module 4: Functions Part A Vocabulary

Module 4: Functions Part A
Vocabulary

A graph formed by two number lines intersecting at a right angle.

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Coordinate Plane

a pair of numbers used to locate a point on a coordinate plane

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ordered pair

~the point where the x-axis and y-axis intersect
~x-axis-the horizontal number line of a coordinate plane
~y-axis-the vertical number line of a coordinate plane.

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origin
x-axis
y-axis

the four sections formed by the intersection of the x-axis and y-axis; labeled with Roman numerals

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quadrants

A collection of related values.

Example Shown:
(-3,4), (3,4), (2,0), (-4,-2), (0,-3), (0,3), (5,-4)

Data set

The set of all the first (x) elements of the ordered pairs of a relation.
The set of all the second (y) elements of the ordered pairs of a relation

Domain and Range

a pairing of input and output values in which each input value is paired with exactly on output value.

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function

an equation that shows how an input value, x, and an output value, y, are related.

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function rule

a table that shows how an input value, x, is paired with an output value, y.

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input-output table

an equation whose graph is a straight line

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linear equation

a graph made by plotting points on a coordinate plane to show the relationship between two variables in a data set.

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​scatter plot

the line that comes closest to all points on a scatter plot.

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line of best fit

*the trend of values increasing as related values increase

​*the trend of values decreasing as related values increase

*a situation where there is no relationship or connection between two or more facts or numbers

positive correlation
negative correlation
no correlation

a pairing of numbers in one set, the domain, with numbers in another set, the range.

There are different ways to represent relations:

relation

a comparison of two quantities by division

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ratio

ratios that can be written as equivalent fractions

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equivalent ratios

rise-the vertical change between any two points.
run-the horizontal change between any two points.

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rise and run

Slope-the ratio of the vertical change, rise (y), to the horizontal change, run (x), between any two points on a line. The slope describes the steepness of a line.

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Slope
Formula for slope

~Positive slope-the line raises. As the x-coordinates increase, the y-coordinates increase.
~Negative slope-the line falls. As the x-coordinates increase, the y-coordinates decrease.
~Zero slope- the line is horizontal. Only the y-coordinate values are graphed. The equation is y=?
~No slope-the line is vertical. Only the x-coordinate values are graphed. The equation is x=?

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Types of slope

~x-intercept-the point where a graph crosses the x-axis. (x,0)
~y-intercept-the point where a graph crosses the y-axis. (0,y)

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x-intercept
y-intercept