Advanced Math 3.1 and 3.2 Exam
Questions with Correct Answers
Which of the following statements is NOT true?
A. If n≥2 is an even integer, then the domain of: " f(x) = the n root of g(x) " is the solution
to the inequality g(x) greater than or equal to 0.
B. The domain of every polynomial function is all real numbers.
C. Many functions have restricted domains.
D. If n≥2 is an odd integer, then the domain of: " f(x) = the n root of g(x) " is the solution
to the inequality g(x) greater than or equal to 0. - Answer-D. If n is greater than or equal
to 2 is an odd integer, then the domain of: " f(x) = the n root of g(x) " is the solution to
the inequality g(x) greater than or equal to 0.
Which of the following statements is true?
A. A graph in the Cartesian plane is the graph of a function if every vertical line
intersects the graph at least once.
B. A graph in the Cartesian plane is the graph of a function if every horizontal line
intersects the graph no more than once.
C. The graph of a horizontal line in the Cartesian plane cannot represent a function.
D. A graph in the Cartesian plane is the graph of a function if every vertical line
intersects the graph no more than once. - Answer-D. A graph in the Cartesian plane is
the graph of a function if every vertical line intersects the graph no more than once.
Which of the following statements is not true?
A. If the domain and range of a relation are sets of real numbers, then the relation can
be represented by plotting ordered pairs in the Cartesian plane.
B. If the domain of a function consists of more than one element, then the range must
also consist of more than one element.
C. Two or more distinct elements in the domain of a function can correspond to the
same element in the range.
D. Every function is a relation but not every relation is a function. - Answer-B. If the
domain of a function consists of more than one element, then the range must also
consist of more than one element.
Which of the following statements defines a function?
A. A function is a relation such that for each element in the domain, there is at least one
corresponding element in the range.
B. A function is a relation such that for each element in the range, there is at least one
corresponding element in the domain.
C. A function is a relation such that for each element in the domain, there is exactly one
corresponding element in the range.
D. A function is a relation such that for each element in the range, there is exactly one
corresponding element in the domain. - Answer-C. A function is a relation such that for
each element in the domain, there is exactly one corresponding element in the range.
Questions with Correct Answers
Which of the following statements is NOT true?
A. If n≥2 is an even integer, then the domain of: " f(x) = the n root of g(x) " is the solution
to the inequality g(x) greater than or equal to 0.
B. The domain of every polynomial function is all real numbers.
C. Many functions have restricted domains.
D. If n≥2 is an odd integer, then the domain of: " f(x) = the n root of g(x) " is the solution
to the inequality g(x) greater than or equal to 0. - Answer-D. If n is greater than or equal
to 2 is an odd integer, then the domain of: " f(x) = the n root of g(x) " is the solution to
the inequality g(x) greater than or equal to 0.
Which of the following statements is true?
A. A graph in the Cartesian plane is the graph of a function if every vertical line
intersects the graph at least once.
B. A graph in the Cartesian plane is the graph of a function if every horizontal line
intersects the graph no more than once.
C. The graph of a horizontal line in the Cartesian plane cannot represent a function.
D. A graph in the Cartesian plane is the graph of a function if every vertical line
intersects the graph no more than once. - Answer-D. A graph in the Cartesian plane is
the graph of a function if every vertical line intersects the graph no more than once.
Which of the following statements is not true?
A. If the domain and range of a relation are sets of real numbers, then the relation can
be represented by plotting ordered pairs in the Cartesian plane.
B. If the domain of a function consists of more than one element, then the range must
also consist of more than one element.
C. Two or more distinct elements in the domain of a function can correspond to the
same element in the range.
D. Every function is a relation but not every relation is a function. - Answer-B. If the
domain of a function consists of more than one element, then the range must also
consist of more than one element.
Which of the following statements defines a function?
A. A function is a relation such that for each element in the domain, there is at least one
corresponding element in the range.
B. A function is a relation such that for each element in the range, there is at least one
corresponding element in the domain.
C. A function is a relation such that for each element in the domain, there is exactly one
corresponding element in the range.
D. A function is a relation such that for each element in the range, there is exactly one
corresponding element in the domain. - Answer-C. A function is a relation such that for
each element in the domain, there is exactly one corresponding element in the range.
