Chapter 2 Review
Concepts and Vocabulary
Q1.
If a function is defined
by the equation y = f(x),
then x is called the _?_
variable and y is the _?_
variable.
A1.
independent
dependent
Q2.
A set of points in the xyplane is the graph of a
function if and only if
every _?_ line
intersects the graph in
at most one point.
A2.
vertical
Q3.
The set of all images
of the elements in the
domain of a function
is called the _?_.
A3.
range
Q4.
True or False:
Every relation is a function.
A4.
False
Q5.
True or False:
The y-intercept of the
graph of the function
y = f(x), whose domain is
all real numbers, is f(0).
A5.
True
Q6.
True or False:
The independent variable
is sometimes referred to
as the argument of the
function.
A6.
True
Q7.
For the graph of the
linear function
f(x) = mx + b, m is the
_?_ and b is the _?_.
A7.
slope
y-intercept
Q8.
True or False:
The correlation coefficient is
a measure of the strength of
a linear relation between
two variables and must lie
between -1 and 1, inclusive.
A8.
True
Q9.
The average rate of
change of a function
equals the _?_ of the
secant line.
A9.
slope
Q10.
A function f is _?_ on an
open interval if for any
choice of x1 and x2 in
the interval, with x1<x2,
we have f(x1) < f(x2).
A10.
increasing
Q11.
An _?_ function f is one
for which f(-x) = f(x) for
every x in the domain
of f.
A11.
even
Q12.
An _?_ function f is one
for which f(-x) = -f(x) for
every x in the domain
of f.
A12.
odd
Q13.
True or False:
Even functions have
graphs that are
symmetric with
respect to the origin.
A13.
false
Q14.
The graph of f(x) = mx + b
is decreasing if m is _?_
than zero.
A14.
less
Q15.
When functions are
defined by more than
one equation, they are
called _?_ functions.
A15.
piecewise
Q16.
True or False:
The cube function is
odd and is increasing
on the interval (- ∞, ∞).
A16.
true
Q17.
True or False:
The domain and range of
the reciprocal function
are the set of all real
numbers.
A17.
false
Q18.
Given f(x), then the
graph of y = f(x – 2) may
be obtained by a(n) _?_
shift of the graph of f a
distance of 2 units to
the _?_.
A18.
horizontal
right
Q19.
Given f(x), 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).
A19.
y
Q20.
Given f(x), then the
graph of y = 3f(x) may
be obtained by a
vertical _?_ of the graph
of f by a factor of _?_.
A20.
stretch
3
Q21.
True or False:
The graph of y = - f(x) is
the reflection about the
x-axis of the graph of
y = f(x).
A21.
true
Q22.
True or False:
To obtain the graph of
y = f(x+2) – 3, shift the
graph of y = f(x)
horizontally to the right 2
units and vertically down
3 units.
A22.
false
Q23.
True or False:
To obtain the graph of y = f(4x),
horizontally compress the
graph of y = f(x) by a factor of
4 . That is, divide each xcoordinate on the graph of
y = f(x) by 4.
A23.
true
Q24.
If the domain of f is all real
numbers in the interval [0,7],
and the domain of g is all
real numbers in the interval
[-2,5], then the domain of
f + g is all real numbers in
the interval _?_.
A24.
[0,5]
Q25.
The domain of f/g consists
of all real numbers x for
which g(x) _?_ 0 that are
in the domains of both _?_
and _?_.
A25.
≠
f
g
Q26.
If f(x) = x + 1 and
g(x) = x³, then
_?_ = (x + 1)³ .
A26.
g(f(x))
Q27.
True or False:
f(g(x)) = f(x)· g(x)
A27.
false
Q28.
True or False:
The domain of (f· g)(x)
consists of the numbers x
that are in the domains of
both f and g.
A28.
true
Q29.
True or False:
The domain of the
composite function
(f ◦ g)(x) is the same
as the domain of g(x).
A29.
false
Q30.
What is the
best way to
study for a
Math test?
A30.
Work
problems!