Math Vocab #2
Matrix
An m by n rectangular array of numbers is called a(n)
Range
The set of all images of the elements in the domain of a function is called the _____.
True
The slope of a line is the average rate of change of the linear function.
Exponential Function, Growth Factor, Initial Value
A(n) ______ is a function of the form f(x)=Cax, a>0, a≠1 and Upper C not equals 0C≠0 are real numbers. The base a is the ______ and C is the _______.
y=x
If f−1 denotes the inverse of a function f, then the graphs of f and f 1f−1 are symmetric with respect to the line ______.
Positive
If the slope m of the graph of a linear function is _______, the function is increasing over its domain.
f(x1=f(x2)
If x 1x1 and x 2x2 are two different inputs of a function f, then f is one-to one if _______.
False
If xy=logax, then y equals a Superscript xy=ax.
4
In working problems involving interest, if the payment period of the interest is quarterly, then interest is paid _______ times per year.
Horizontal, to the right
Suppose that the graph of a function f is known. Then the graph of y=f(x−2) may be obtained by a _______ shift of the graph of f _______ a distance of 2 units.
Vertical, Up
Suppose that the graph of a function g is known. The graph of y=g(x)plus+2 may be obtained by a _______ shift of the graph of g _______ a distance of 2 units.
True
The independent variable is sometimes referred to as the argument of the function.
Augmented
The matrix used to represent a system of linear equations is called a(n) __________ matrix.
Turning Points
The points at which a graph changes direction (from increasing to decreasing or decreasing to increasing) are called _______.
-b/2a
The x-coordinate of the vertex of f(x)=ax2+bx+c, a not equals 0a≠0, is _______.
True
The y-intercept of the graph of the function y=f(x) y=f(x), whose domain is all real numbers, is f (0).
Piecewise-defined
When functions are defined by more than one equation, they are called _______ functions.
Local Maximum
A function f has a _______ _______ at c if there is an open interval I containing c so that, for all x not equal to c in I, f(x)<f(c).
True
A function f is decreasing on an open interval I if, for any choice of x1 and x2 in I, with x1less than<x2, we have fx1>fx2.
Increasing
A function f is _____ on an open interval I if, for any choice of x1 and x2 in I, with x1<x2, we have x1<fx2.
Vertical
A set of points in the xy-plane is the graph of a function if and only if every _______ line intersects the graph in at most one point.
Even ,Odd
An ________ function f is one for which f(minus−x)equals=f(x) for every x in the domain of f; an _______ function f is one for which f=−f(x) for every x in the domain of f.
False
Decide whether the following statement is true or false.
Y-Axis
Even functions have graphs that are symmetric with respect to the ____.
False
Every polynomial function of degree 3 with real coefficients has exactly three real zeros.
Slope, Y-Intercept
For the graph of the linear function f x mx plus b f(x)=mx+b, m is the _______ and b is _______.
Composite Function, f(g(x))
Given two functions f and g, the _________, denoted f circle gf◦g, is defined by f◦g(x)=________.
one-to-one
If every horizontal line intersects the graph of a function at no more than one point, f is a(n) ___ function.
True
If f and g are inverse functions, the domain of f is the same as the range of g.
Independent, Dependent
If f is a function defined by the equation yequals=f(x), then x is called the _______ variable and y is the _______ variable.
Y
Suppose that the graph of a function f is known. Then the graph of y equals f left parenthesis negative x right y=f(−x) may be obtained by a reflection about the ____-axis of the graph of the function y equals y=f(x).
Parabola
The graph of a quadratic function is called a(n) _______.
smooth, continuous
The graph of every polynomial function is both _______ and _______.
True
The graph of y=−f(x) is the reflection about the x-axis of the graph of y=f(x).
Principal
The total amount borrowed (whether by an individual from a bank in the form of a loan or by a bank from an individual in the form of a savings account) is called the
Axis of Symmetry
The vertical line passing through the vertex of a parabola is called the ______.
Effective Rate of Interest
The ________ is the equivalent annual simple interest rate that would yield the same amount as compounding n times per year, or continuously, after 1 year.