Basic Math Introductory And Intermediate Algebra Exam Script Full Review Sheet Tested Questions And Correct Answers

BASIC MATH INTRODUCTORY AND
INTERMEDIATE ALGEBRA EXAM SCRIPT
FULL REVIEW SHEET TESTED QUESTIONS
AND CORRECT ANSWERS

●● Interval Notation <= or >=
Answer: Use brackets - [ ]


●● Interval Notation < or >
Answer: Use parenthesis - ( )


●● Set Builder Notation
Answer: { variable | results }


●● Number Line Notation
Answer: <---------------------------->


●● Relation
Answer: Set of ordered pairs


●● Cartesian Coordinates

,Answer: Cartesian coordinates can be used to pinpoint where you are on
a map or graph.


●● Cartesian Quadrants
Answer: The two axes divide the plane into four sections called
"quadrants". The quadrants are labelled with Roman numerals (not
Arabic numerals), starting at the positive x-axis and going around anti-
clockwise:Cartesian quadrants


●● Finite Relationship
Answer: Countable number of ordered pairs.


●● Infinite Relationship
Answer: Uncountable number of ordered pairs


●● Function
Answer: A relation in which every x-value is paired with exactly one y-
value.


●● How to determine if you have a function - finite relationship
Answer: Just look at the ordered pairs - if x's are used more than once, it
is not a function.


●● How to determine if you have a function - infinite relationship

,Answer: use a graph and the vertical line test. If you can imagine a
vertical line connecting two or more x points, then it is not a function.


●● How to determine if you have a function - Parabola
Answer: If the parabola is on its side with arrows facing East or West,
then it is not a function. If the parabola has the arrows facing North or
South it is a function.


●● Domain
Answer: X values of a function or relationship


●● Range
Answer: Y values in a function or relationship.


●● How to read a domain from a graph
Answer: For Domains Read left to right


●● How to read the range from a graph
Answer: For Range Read bottom to top


●● Function Notation
Answer: y = f(x)

, ●● Symbolic Representation of a Function
Answer: f(x) = algebraic expression or constant


●● Domains for a Linear Polynomial
Answer: All reals


●● Graph type for a Linear (degree 1) Polynomial
Answer: Straight Line. Slope determines uphill or downhill as well as
slant.


●● Graph type for a Quadratic (degree 2, squared) Polynomial
Answer: Parabola


●● Domains for a Quadratic (degree 2, squared) Polynomial
Answer: All reals


●● Domains for a Cubic (degree 3, cubed) Polynomial
Answer: All reals


●● Graph type for a Cubic (degree 3, cubed) Polynomial
Answer: "S" curve