Math 1314 Vocabulary Quiz

The graph of y=-f(x) is the reflection about the x-axis of the graph of y=f(x)

true

The y-intercept of the graph of the function y=f(x), whose domain is all real numbers, is f(0)

True

The matrix used to represent a system of linear equations is called a(n) ______ matrix

augmented

Given the two functions f and g, the ______, denoted f of g, is defined by f of g(x)=______

composite function, f(g(x))

An m by n rectangular array of numbers is called a(n)

matrix

For the graph of the linear function f(x)=mx+b, m is the _______ and b is the ______

slope, y-intercept

A(n) _____ is a function of the form f(x)=Cax,a>0, a not equal to 1 and C=0 are real numbers. The base a is a the ____and C is the ____

exponential function, growth factor, initial value

If every horizontal line intersects the graph of a function at no more than one point, f is a(n) ______ function

one-to-one

When functions are defined by more than one equation, they are called ______ functions

piecewise defined

The graph of every polynomial function is both ____ and _____

smooth, continuous

The vertical line passing through the vertex of a parabola is called the

axis of symmetry

The x-coordinate of the vertex of f(x)=ax2+bx+c, anot equal to 0 is______

-b/2a

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

horizontal, to the right

Suppose that the graph of a function f is known. The graph of y=g(x)+2 may be obtained by a ____ shift of the graph of g ____ a distance of 2 units

vertical, up

Even functions have graphs that are symmetric with respect to the

y-axis

A function f has a _______ _________ at c if there is an open interval I if, for any choice of x1 and x2 in I , with x1<x2, we have f(x1)>f(x2)

True

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

effective rate of interest

An ________ function f is one or which f(-x)=f(x) for every x in the domain of f; an ______ function f is the one for which f-x)=-f(x) for every x in the domain of f

even, odd

Every polynomial function of degree 3 with real coefficients has exactly 3 real zeros

false

Every relation is a function

false

A function f is _______ on an open interval I if, for any choice of x1, and x2 in I, with x1<x2, we have f(x1)<f(x2)

increasing

If f is a function defined by the equation y=f(x), then x is called the ______ variable and y is the _______ variable

independent, dependent

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)

local maximum

The graph of a quadratic function is called a

parabola

if the slope m of the graph of a linear function is _____, the function is increasing over its domain

positive

The set of all images of the elements in the domain of a function is called the

range

The independent variable is sometimes referred to as the argument of the function

true

The slope of a line is the average rate of change of the linear function

true

if f and g are inverse functions, the domain of f is the same as the range of g

true

The points at which a graph changing (changing from increasing to decreasing) are called

turning points

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

vertical

if f-1 denotes the inverse of a function f, then the graphs of f and f-1 are symmetric with respect to the line _____

y=x

In working problems involving interest, if the payment period of interest is quarterly, then the interest paid is __ times per year

4

if y=logax, then y=ax

false

The total amount borrowed (whether by an individual from a bank in the form a loan or by a bank from an individual in the form of a savings account) is called the

principal

Suppose that the graph of a function f is known. Then the graph of y-f(-x) may be obtained by a reflection about the _ axis of the graph of the function y=f(x)

y

if x1 and x2 are two different inputs of a function f, then f is one-to-one if _____

f(x1)not equal to f(x2)