zuai-logo
zuai-logo
  2. AP Pre Calculus
FlashcardFlashcardStudy GuideStudy GuideQuestion BankQuestion Bank

Polynomial and Rational Functions

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)h(x)h(x) is a rational function defined by h(x)=7x−59−xh(x) = \frac{7x-5}{9-x}h(x)=9−x7x−5​, what is an excluded value for xxx?

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)=5x+3f(x) = \frac{5}{x + 3}f(x)=x+35​?

Question 6
college-boardPre-CalculusAPExam Style
1 mark

What happens to the values of f(x)=3−xxf(x) = \frac{3-x}{x}f(x)=x3−x​ as xxx 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)=x3−4x2x3+x2−1g(x)=\frac{x^3-4x}{2x^3+x^2-1}g(x)=2x3+x2−1x3−4x​?

Feedback stars icon

How are we doing?

Give us your feedback and let us know how we can improve

Question 8
college-boardPre-CalculusAPExam Style
1 mark

Given two rational functions R1(x)=ax+bcx+dR_1(x)=\frac{ax+b}{cx+d}R1​(x)=cx+dax+b​ & R2(y)=ey+fgy+hR_2(y)=\frac{ey+f}{gy+h}R2​(y)=gy+hey+f​, if R1(10)=R2(10)R_1(10)=R_2(10)R1​(10)=R2​(10) and a=ea=ea=e and b=fb=fb=f and c=gc=gc=g and d≠hd \neq hd=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)=2x3+5x4−9f(x) = \frac{2x^3 + 5}{x^4 - 9}f(x)=x4−92x3+5​ 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?