MAC 1140 Exam # 1 Review
Instructions: Exam #1 will consist of 9 questions plus a bonus problem. The point
value for each question is listed after each question. T he extra credit will be worth 10
points. A scientific calculator may be used but no graphin

Section 3.3: Properties of Functions
When we talk about the symmetry of a graph, we talk about symmetry with
respect to the x-axis, the y-axis, and the origin.
For a graph to represent a function, it must pass the vertical-line test, so
it is impossible

Section 3.4: Library of Functions; Piecewise-Dened
Functions
Here are the graphs of some common functions, all of which can be obtained
by plotting points as is shown in section 2.1.
1. f (x) = b (Constant Function)
2. f (x) = mx + b (Linear Function)
1

Section 4.3: Quadratic Functions and Their Properties
Def: A quadratic function is a function of the form f (x) = ax2 +bx+c, where
a, b, c are real numbers and a = 0.
The domain of a quadratic function is all real numbers. The shape of the
graph of a qu

Section 5.5: The Real Zeros of a Polynomial Function
Remainder Theorem: Let f be a polynomial function and c be a real number.
If f (x) is divided by x c, then the remainder is f (c).
Factor Theorem: Let f be a polynomial function and c be a real number

Section 5.3: The Graph of a Rational Function
Recall that if R(x) = p(x) is a rational function in lowest terms, then to say
q(x)
that x = r is a vertical asymptote is equivalent to saying that q(r) = 0 (so r
is a zero of q(x), which is equivalent to say

Section 5.2: Properties of Rational Functions
Def: A rational function is a function of the form R(x) = p(x) , where p(x)
q(x)
and q(x) are polynomial functions and q(x) is not the zero polynomial. The
domain of a rational function is the set of all real

Section 5.4: Polynomial and Rational Inequalities
To solve a polynomial inequality, use the following procedure:
1. Get zero on one side of the inequality.
2. Find the zeros of the polynomial.
3. Use the zeros you found in the previous step to divide the

Section 3.1: Functions
Def: Let X and Y represent sets (by a set we mean a collection of objects).
A relation between X and Y is a correspondence between the objects (or
elements) in X and the objects in Y .
If the object x in X corresponds to the objec

Section 6.1: Composite Functions
Def: Given two function f and g, the composite function, which we denote
by f g and read as f composed with g, is dened by (f g)(x) = f (g(x).
In other words, the function f composed with g is the function you get by
putt

Section 3.5: Graphing Techniques: Transformations
In the previous section, we saw the what the graphs of several functions looked
like. In this section, we will take these graphs and modify them by moving
them up or down, moving them left or right, compr

Section 6.2: One-to-One Functions; Inverse Functions
Def: Suppose that f is a function. The inverse of f is the correspondence
which takes f (x) as the input and gives back x as the output. The domain
of f is the range of the inverse of f and the range o

Section 3.2: The Graph of a Function
Recall that in order for an equation to be a function, then for each value of
x, there must be exactly one value of y.
Vertical-line Test: If an equation represents a function then every vertical line
you can possibl

Section 5.1: Polynomial Functions
Def: A polynomial function is a function of the form:
f (x) = an xn + an1 xn1 + . . . + a1 x + a0
where an , an1 , . . . , a1 , a0 are real numbers and the exponents are all nonnegative integers. The domain of a polynomi

MAC 1140 Exam #2
Name:
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HONOR CODE: On my honor, I have neither given nor received any aid on this
examination.
Signature: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Instructions: Do all scratch work

MAC 1140 Exam #4 Review
Instructions: Exam #4 will consist of 7 questions plus a bonus problem. The
point value for each question is listed after each question. The extra credit will be
worth 10 points. A scientic calculator may be used but no graphing ca

MAC 1140 Exam #4 Review
Instructions: Exam #4 will consist of 7 questions plus a bonus problem. The
point value for each question is listed after each question. The extra credit will be
worth 10 points. A scientific calculator may be used but no graphing

MAC 1140 Final Exam Review
Instructions: The final exam will consist of 12 questions and be worth 200 points.
The point value for each part of each question is listed on the individual prob
lem. The total number of points each question is worth is listed

MAC 1140 Exam #2 Review
Instructions: Exam #2 will consist of 5 questions plus a bonus problem. Each question will be worth 20 points. The extra credit will be worth 10 points. A scientic
calculator may be used but no graphing calculators or calculators o

MAC 1140 Final Exam Review
Instructions: The nal exam will consist of 12 questions and be worth 200 points.
The point value for each part of each question is listed on the individual problem. The total number of points each question is worth is listed bel

MAC 1140 Exam #3 Review
Instructions: Exam #3 will consist of 6 questions plus a bonus problem. The
point value for each question is listed after each question. The extra credit will be
worth 10 points. A scientic calculator may be used but no graphing ca

MAC 1140 Exam #3 Review
Instructions: Exam #3 will consist of 6 questions plus a bonus problem. The
point value for each question is listed after each question. The extra credit will be
worth 10 points. A scientific calculator may be used but no graphing

MAC 1140 Exam #1 Review
Instructions: Exam #1 will consist of 9 questions plus a bonus problem. The point
value for each question is listed after each question. The extra credit will be worth 10
points. A scientic calculator may be used but no graphing ca

MAC 1140 Exam #2 Review
Instructions: Exam #2 will consist of 5 questions plus a bonus problem. Each ques
tion will be worth 20 points. The extra credit will be worth 10 points. A scientific
calculator may be used but no graphing calculators or calculator

MAC 1140 Exam #4
Name:
ID#
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HONOR CODE: On my honor, I have neither given nor received any aid on this
examination.
Signature: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Instructions: Do all scratch work on the test i

MAC 1140 Exam #1
HONOR CODE: On my honor , I have neither given nor received any aid on this
examination.
Si gnature: _ _ _ _ _ _ _ _ _ _ _ _
In:'!tl'uctions: Do aU scratch work on the test. itself. . vfake sure your final answers
[
are dearly labelled. B

MAC 1140 Exam #3
Name: -'-l.:.:;s w"<-=-"-+-_ _ _ _ _ _ _
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ID#
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_-=-~_=_=_ _ _ _ _ _
HONOR CODE: On my honor, I have neither given nor received any aid on this
examination.
Signature: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Instructions: Do all s

Section 5.6: Complex Zeros; Fundamental Theorem of
Algebra
Def: A complex polynomial function f of degree n is a function of the form
f (x) = an xn + an1 xn1 + . . . + a1 x + a0
where an , . . . , a0 are complex numbers and all the exponents are nonnegat