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Functions (USA Test Prep)
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Terms in this set (35)
Constant rate of change
The rate of change is the same on the entire graph.
Decreasing function
A function whose graph goes down (falls) as it is followed from left to right is said to be a ____.
Domain
The set of all x-values in a relation.
Exponential Equation
An equation that involves a number raised to a variable power.
Family Of Functions
A group of functions that have the same basic shape. They may be different sizes or be in different places on the coordinate plane.
Function
In this relationship between two quantities, for each input there is exactly one output.
Function Table
This is a table of values that follows a given rule or function. Each output comes from the input being applied to the rule.
Increasing Function
A function whose graph goes up as it is followed from left to right.
Inputs
The set of x values of a function, this is another name for domain.
Intercepts
The points where a graph crosses the x- and y-axis.
Linear function
A function of the form f(x) = mx + b, where m and b are real numbers. A polynomial of degree 1.
Linear Pattern
A set of points in a pattern, that when graphed, connect to form line.
Maximum value
This is the greatest value in a list of numbers.
Maximum point
The highest point on a graph in the domain of the function.
Minimum value
This is the smallest value of a data set.
Minimum point
The lowest point on a graph in the domain of the function.
Model
A function which is used to represent a problem, and which can be used to solve the problem.
Negative Slope
A line extending from the upper left to the lower right has this type of slope.
Nonlinear Equation
An equation with a degree greater than 1. The graph of the equation will not produce a line.
Function Notation
This is denoted as f(x) and read as f of x, this is a way of expressing the value of an equation when a specific variable is inserted.
Ordered pair
This is a way of expressing a relationship between x and y in set notation.
Outputs
The set of y values of a function, this is another name for range.
Point-Slope Form
A form of writing a linear equation when you are given 2 points. y - y1 = m(x - x1).
Positive Slope
A line extending from the lower left to the upper right has this type of slope.
Range
The output of a function or relation, or the set of y-values that a graph is defined for.
Rate
The amount of increase or decrease in a function usually written as a fraction.
Rate Of Change
Often considered the slope, this is the comparison of two different quantities that are changing.
Relation
A set of ordered pairs (x, y). It may or may not also be a function.
Slope
This describes how much a line rises or falls between any two points on that line. Algebraically it is expressed as (y¬2 - y1)/ (x2 - x1) for the line passing through (x1, y1) and (x2, y2).
Slope Formula
The formula used to find the rate of change between two points is called the ____ formula.
Slope-Intercept Form
This is an equation of a line in the form y=mx+b.
Table
This is an arrangement of data, usually in rows and columns. It is called a ___.
X-Intercept
This is a point at which a graph intersects the x-axis.
Y-Intercept
This is a point at which a graph intersects the y-axis.
Zero Slope
This is the slope of a horizontal line. The line has no vertical change between each horizontal change.
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