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Question 1

college-boardPre-CalculusAPExam Style

1 mark

What does end behavior describe about a graph of a rational function?

Question 2

college-boardPre-CalculusAPExam Style

1 mark

If $h(x)$ is a rational function defined by $h(x) = \frac{7x-5}{9-x}$ , what is an excluded value for $x$ ?

Question 3

college-boardPre-CalculusAPExam Style

1 mark

When considering the graph of a rational function modeling the effectiveness of a product over time, what does an intersection with the horizontal axis represent in the context of real-world scenarios?

Question 4

college-boardPre-CalculusAPExam Style

1 mark

Question #4: Which transformation could turn an oblique asymptote into a horizontal or vertical one when applied to a rational function with higher-degree terms in its numerator than its denominator?

Question 5

college-boardPre-CalculusAPExam Style

1 mark

What value can be excluded from the domain of $f(x) = \frac{5}{x + 3}$ ?

Question 6

college-boardPre-CalculusAPExam Style

1 mark

What happens to the values of $f(x) = \frac{3-x}{x}$ as $x$ approaches the vertical asymptote from the right?

Question 7

college-boardPre-CalculusAPExam Style

1 mark

What is the horizontal asymptote of the rational function defined by $g(x)=\frac{x^3-4x}{2x^3+x^2-1}$ ?

Question 8

college-boardPre-CalculusAPExam Style

1 mark

Given two rational functions $R_1(x)=\frac{ax+b}{cx+d}$ & $R_2(y)=\frac{ey+f}{gy+h}$ , if $R_1(10)=R_2(10)$ and $a=e$ and $b=f$ and $c=g$ and $d \neq h$ , then what can we conclude about their graphs?

Question 9

college-boardPre-CalculusAPExam Style

1 mark

What is the end behavior of the rational function $f(x) = \frac{2x^3 + 5}{x^4 - 9}$ as x approaches positive infinity?

Question 10

college-boardPre-CalculusAPExam Style

1 mark

A rational function has an undefined value when its denominator is what?

Polynomial and Rational Functions

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