Rational Functions flashcards
12 practice cards drawn from the Rational Functions lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.
Read the Rational Functions lessons in full →
Divide by x + 3. What is the quotient?
x + 1
from “Long Division of Polynomials”
Divide by x + 3. What is the remainder?
3
from “Long Division of Polynomials”
Where does cross the x-axis?
x = -2
from “Zeros and Vertical Asymptotes”
Where does cross the x-axis?
x = 1
from “Zeros and Vertical Asymptotes”
. What sits at x = 1?
a hole
from “Holes Where a Factor Cancels”
. What sits at x = 5?
a hole
from “Holes Where a Factor Cancels”
What is the horizontal asymptote of ?
y = 0
from “Horizontal Asymptotes by Degree”
What is the horizontal asymptote of ?
y = 0
from “Horizontal Asymptotes by Degree”
What is the slant asymptote of ?
y = x + 1
from “Slant Asymptotes by Long Division”
Why does have no horizontal asymptote?
the top has the bigger degree
from “Slant Asymptotes by Long Division”
rearranges to yx + 25 = 0. What must hold for a value y to be reached?
from “Values a Rational Function Cannot Take”
. Which values can y not take?
−4 < y < 4
from “Values a Rational Function Cannot Take”