Precalculus - Functions & Graphs Questions and Answers Latest Update 2025
Axis of Symmetry - Answers A line that divides a plane figure or a graph into two congruent reflected
halves
Cartesian plane - Answers a plane divided into four quadrants by the intersection of the x-axis and the y-
axis at the origin
Composition of Functions - Answers A function is performed, and then a second function is performed
on the result of the first function. The composition of f and g is denoted by f ◦ g, and [f ◦ g](x) = f[g(x)] .
Difference of Sets - Answers The set difference of set B from set A, is the set of all elements in A that are
not in B
Disjoint sets - Answers sets that have no elements in common
Function - Answers A prewritten formula that makes it easy to perform common calculations
Function Machine - Answers An imaginary machine used in EVERYDAY MATHEMATICS to change
numbers according to a given rule.
Graph - Answers A diagram showing the relation between variable quantities, typically of two variables
measured along a pair of lines at right angles.
Graph of a Function - Answers collection of orderd pairs such that x is in the domain of f
Graph of an Equation - Answers A graph of the set of ordered pairs that are solutions of the equation.
Increasing Functions - Answers Functions that increase. x1 < x2 or f(x1) < f(x2) These are read from left
to right. X axis is used.
Intercept - Answers The point where the graph of a function crosses the x-axis or y-axis.
Intersection of Sets - Answers The intersection of the sets of A and B, written A∩B, is the set of elements
that are in both A and B.
Inverse Function - Answers A relation formed by reversing x and y in a function.
Like Terms - Answers Expressions that contain the same variables to the same power
Line - Answers A straight path that goes without end in two directions.
Local Maximum - Answers Biggest y-value in a small area
Local Minimum - Answers Smallest y-value in a small area
Multiplicative Inverse - Answers (mathematics) one of a pair of numbers whose product is 1: the
reciprocal of 2/3 is 3/2
Axis of Symmetry - Answers A line that divides a plane figure or a graph into two congruent reflected
halves
Cartesian plane - Answers a plane divided into four quadrants by the intersection of the x-axis and the y-
axis at the origin
Composition of Functions - Answers A function is performed, and then a second function is performed
on the result of the first function. The composition of f and g is denoted by f ◦ g, and [f ◦ g](x) = f[g(x)] .
Difference of Sets - Answers The set difference of set B from set A, is the set of all elements in A that are
not in B
Disjoint sets - Answers sets that have no elements in common
Function - Answers A prewritten formula that makes it easy to perform common calculations
Function Machine - Answers An imaginary machine used in EVERYDAY MATHEMATICS to change
numbers according to a given rule.
Graph - Answers A diagram showing the relation between variable quantities, typically of two variables
measured along a pair of lines at right angles.
Graph of a Function - Answers collection of orderd pairs such that x is in the domain of f
Graph of an Equation - Answers A graph of the set of ordered pairs that are solutions of the equation.
Increasing Functions - Answers Functions that increase. x1 < x2 or f(x1) < f(x2) These are read from left
to right. X axis is used.
Intercept - Answers The point where the graph of a function crosses the x-axis or y-axis.
Intersection of Sets - Answers The intersection of the sets of A and B, written A∩B, is the set of elements
that are in both A and B.
Inverse Function - Answers A relation formed by reversing x and y in a function.
Like Terms - Answers Expressions that contain the same variables to the same power
Line - Answers A straight path that goes without end in two directions.
Local Maximum - Answers Biggest y-value in a small area
Local Minimum - Answers Smallest y-value in a small area
Multiplicative Inverse - Answers (mathematics) one of a pair of numbers whose product is 1: the
reciprocal of 2/3 is 3/2
