Functions (USA Test Prep)
Terms in this set (...)
Constant rate of change
The rate of change is the same on the entire graph.
A function whose graph goes down (falls) as it is followed from left to right is said to be a ____.
The set of all x-values in a relation.
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.
In this relationship between two quantities, for each input there is exactly one output.
This is a table of values that follows a given rule or function. Each output comes from the input being applied to the rule.
A function whose graph goes up as it is followed from left to right.
The set of x values of a function, this is another name for domain.
The points where a graph crosses the x- and y-axis.
A function of the form f(x) = mx + b, where m and b are real numbers. A polynomial of degree 1.
A set of points in a pattern, that when graphed, connect to form line.
This is the greatest value in a list of numbers.
The highest point on a graph in the domain of the function.
This is the smallest value of a data set.
The lowest point on a graph in the domain of the function.
A function which is used to represent a problem, and which can be used to solve the problem.
A line extending from the upper left to the lower right has this type of slope.
An equation with a degree greater than 1. The graph of the equation will not produce a line.
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.
This is a way of expressing a relationship between x and y in set notation.
The set of y values of a function, this is another name for range.
A form of writing a linear equation when you are given 2 points. y - y1 = m(x - x1).
A line extending from the lower left to the upper right has this type of slope.
The output of a function or relation, or the set of y-values that a graph is defined for.
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.
A set of ordered pairs (x, y). It may or may not also be a function.
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).
The formula used to find the rate of change between two points is called the ____ formula.
This is an equation of a line in the form y=mx+b.
This is an arrangement of data, usually in rows and columns. It is called a ___.
This is a point at which a graph intersects the x-axis.
This is a point at which a graph intersects the y-axis.
This is the slope of a horizontal line. The line has no vertical change between each horizontal change.
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