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Topic 1 Vocabulary - Functions (Precalculus)

Name:____________________________________
Class: ____________________ Period: _________
Date: _____________________ Grade: _________
Across
A function value f(a) is called a relative _______ of f when there exists an interval (x1,x2) that contains a such that x1 < x < x2 implies f(a) >= f(x).
A function f is __________ on an interval when, for any x1 and x2 in the interval, x1 < x2 implies f(x1) < f(x2).
The ________ d between the points (x1,y1) and (x2,y2) in the plane is d = [(x2 - x1)^2 + (y2 - y1)^2]^1/2
Each point in the Cartesian plane corresponds to an _______ pair (x,y) of real numbers x and y.
A function y = f(x) is ___ when, for each x in the domain of f, f(-x) = -f(x).
The x-axis and y-axis divide the Cartesian plane into four parts called _________
Named after the French mathematician Rene Descartes, the _________ plane, or the rectangular coordinate system, lets you represent ordered pairs of real numbers by points in a plane.
The point of intersection of the x-axis and y-axis
The ______ of an equation is the set of all points that are solutions of the equation.
The _____ of a nonvertical line is the number of units the line rises (or falls) vertically for each unit of horizontal change from left to right.
Two nonvertical lines are _____________ if and only if their slopes are negative reciprocals of each other.
A special kind of relation that matches each item from one set with exactly one item from a different set.
The ________ of the line segment joining the points (x1,y1) and (x2,y2) is given by the _________ Formula: ([(x1 + x2)/2], [(y1 + y2)/2])
A function f is __________ on an interval when, for any x1 and x2 in the interval, x1 < x2 implies f(x1) ? f(x2).
The ___________ Theorem states: "For a right triangle with hypotenuse of length c and sides of lengths a and b, you have a^2 + b^2 = c^2."
The mathematical term for a correspondence between two quantities that are related to each other.
The Vertical Line ____ states that a set of points in a coordinate system is the graph of y as a function of x if and only if no vertical line intersects the graph at more than one point.
A ________ line has an equation of the form x = a.
The simplest mathematical model for relating two variables is the ______ equation in two variables y = mx + b.
The set of inputs of a function.
Down
A real number line; the Cartesian plane has a horizontal x-____ and a vertical y-____
If the x-axis and y-axis have different units of measure, then the slope is a ____ of change.
Vertical lines cannot be written in the form y = mx + b because the slope of a vertical line is _________.
The set of all outputs of a function.
By squaring each side of the Distance Formula [(x - h)^2 + (y - k)^2]^1/2 = r for a point (x,y) which lies on the circle of radius r and center (h,k), you obtain the ________ form of the equation of a circle.
Frequently, a relationship between two quantities is express as an _________ in two variables.
The x-__________ represents the directed distance from the y-axis to an ordered pair, while the y-__________ represents the directed distance from the x-axis to the point.
A __________ line has an equation of the form y = b.
Graphs of equations can have ________ with respect to one of the coordinate axes or with respect to the origin.
A function f is __________ on an interval when, for any x1 and x2 in the interval, f(x1) = f(x2).
The domain of the function is the set of all values taken on by the ____________ variable x.
The solution points that have zero as either the x-coordinate or the y-coordinate
An ordered pair (a,b) is a ________ of an equation in x and y when the substitutions x = a and y = b result in a true statement.
The range of the function is the set of all values taken on by the _________ variable y.
Two distinct nonvertical lines are ________ if and only if their slopes are equal.
The equation involving the variables x and y, rewritten in the form y - y1 = m(x - x1) is the _____-slope form of the equation of a line.
Every line has an equation that can be written in the ________ form Ax + By + C = 0.
A point (x,y) lies on the ______ if and only if its distance from the center (h,k) is r.
A linear equation written in slope-intercept ____ has the ____ y = mx + b
If the graph of a function of x has an x-intercept at (a,0), then a is a ____ of the function.
A function y = f(x) is ____ when, for each x in the domain of f, f(-x) = f(x).