Asymptotes and Intercepts

Which of the following is the set of all values that the variable x can take?

• Range

• Intercept

• Domain

• Zeroes

• all real numbers

• all real numbers except -3

• all real numbers except 3

• cannot be determined

• x = -1

• x = 0

• x = 1

• all real numbers

Complete the sentence: The real number zeroes are also _________ of the graph of the function.

• asymptote

• x- intercepts

• y - intercepts

• range

Which of the following is the set of all values that f(x) can take?

• Range

• Intercept

• Domain

• Zeroes

• R = {y| y = 1}

• R = {y| y = 0}

• R = {y| y ≠ 1}

• R = {y| y ≠ 0}

Which of the following is a true statement?

• A rational function is a quotient of functions

• Asymptotes are a common characteristics of rational function

• An asymptote is a line that a graph approaches, but does not touch

• all of the above

If the degree of the leading coefficient of the numerator is equal to the degree of the leading coefficient of the denominator of a rational function, which of the following statement has to be true?

• The graph has no asymptote

• The graph of the function has slant asymptote

• The graph of the function has a horizontal asymptote

• None of the above

• y = 3

• y = 0

• y = -2

• y = -3

• x = 5

• x = 3

• x = 1

• x = 0