Infinite Limits and Graphing Rational Functions
Calculus Summative
Names: ________________________________
Instructions: Answer all the questions and show your work
Question 1
Evaluate the limits for the following function using the graph below:
a. lim f(x) =
b. lim f(x) =
c. lim f(x) =
d. lim f(x) =
(4 points)
Question 2
(16 points)
Graph the following function, ensuring that you find the vertical and horizontal asymptotes, x and y
intercepts, holes, and any other points that will help you to graph the function.
Hole
Vertical Asymptote
Horizontal Asymptote
x-intercept
y-intercept
(2 points for each correctly written part in the table,
10 points for the table)