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TEST Rational Functions - Non Calculator

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Last updated over 1 year ago
10 questions
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Question 1
1.

Question 2
2.

Question 3
3.

Question 4
4.

Question 5
5.

Question 6
6.

Question 7
7.

Question 8
8.

Consider the rational functions:

For what value of a will the graph of F(x) have a horizontal asymptote of:

Show and justify your work.

Question 9
9.

Consider the rational functions:

For what value(s) of x is G(x) < 0. Show a complete sign analysis that leads to your answer.

Question 10
10.

Consider the rational functions:

Find the equations of all asymptotes of G(x). Show your work to justify your answer.

The graph of:

has ...
The graph of:

has ...
If it is known that p(-3) = 0, which of the following statements is true?
(x + 3) is a non-cancelling factor of the numerator.
(x + 3) is a non-cancelling factor of the denominator.
The ratio of the constant terms of the numerator and denominator is -3.
(x - 3) is a non-cancelling factor of the numerator.
(x - 3) is a non-cancelling factor of the denominator.
If it is known that p(-3) = 0, which of the following statements is true?
(x + 3) is a non-cancelling factor of the numerator.
(x + 3) is a non-cancelling factor of the denominator.
The ratio of the constant terms of the numerator and denominator is -3.
(x - 3) is a non-cancelling factor of the numerator.
(x - 3) is a non-cancelling factor of the denominator.
Which of the following statements is true about the function:

f(x) has two values of x at which point discontinuities exist.
f(x) one point discontinuity and on infinite discontinuity
f(x) has one value at which a jump discontinuity exists
f(x) two values of x at which infinite discontinuities exist
f(x) is continuous for all values of x.
Which of the following statements is true about the function:

f(x) has two values of x at which point discontinuities exist.
f(x) one point discontinuity and on infinite discontinuity
f(x) has one value at which a jump discontinuity exists
f(x) two values of x at which infinite discontinuities exist
f(x) is continuous for all values of x.
Which of the following rational equations could be the functions for the graph below?