circuit training – the rational function name
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Circuit Training – The Rational Function Name _______________________________ Directions: Begin in call #1. Do the work necessary to answer the question. Circle your answer, then search for it and call that cell #2. Proceed in this manner until you complete the circuit. A calculator is not needed to do any of these problems. Answer: −9 # ___1___ Given 𝑓 𝑥 = !!!
!!! , find 𝑓 3 .
Answer: 0 # _______ What is the range of the rational function 𝑦 = !
!!!?
Answer: −4 # _______ For the function 𝑓 𝑥 = !!!
!!! , solve
𝑓 𝑥 = 2.
Answer: −!!
# _______ What is (are) the x-‐intercept(s) of the function 𝑓 𝑥 = !!!
!!! ?
Answer: !! # _______ What is the domain of the function 𝑔 𝑥 = !!!!
!!!! ?
Answer: !! # _______ How many vertical asymptotes does the rational function 𝑦 = !!!
!!!! have?
(if there are no vertical asymptotes, look for 0)
Answer: !!!
# _______ Given 𝑔 𝑥 = !!!!!
!!! , find 𝑔 −1 .
Answer: 1 # _______ Which 𝑥 − value is not in the domain of 𝑝 𝑥 = !!!!
!!!!! ?
choices: !!, !!, !
!!
Answer: 𝑦 = 5𝑥 − 2 # _______ List the equations of the asymptotes for the rational function 𝑦 = !!!!!!!!
!!!!!!!" .
Answer: 𝑦 = 0, 𝑥 = 5 # _______ List the equations of the vertical and/or horizontal asymptotes for the rational function 𝑦 = !!!!
!!! .
Answer: undefined # _______ What is the y-‐intercept of the function 𝑓 𝑥 = !!!
!!! ?
Answer: −∞, 3 ∪ (3,∞) # _______ What is the equation of the horizontal asymptote to the graph of 𝑦 = !
!!!?
y = _____
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Answer: − !!
# _______ What is the equation of the vertical asymptote for the function 𝑝 𝑥 = !!!!
!!!! ?
x = ______
Answer: −∞, 0 ∪ (0,∞) # _______ How many vertical asymptotes does 𝑦 = !!!
!!!!" have?
(if there are no vertical asymptotes, look for 0)
Answer: (−∞,∞) # _______ The function 𝑦 = !!!
!!! is not defined for
which 𝑥 −value(s) ? choices: !!, !, !
Answer: there are none # _______ The rational function 𝑓 𝑥 = !"!
!!!!!!!!
has a “slant” or “oblique” asymptote. What is its equation?
Answer: 2 # _______ How many vertical asymptotes does the function 𝑦 = !
!!!! have?
(if there are no vertical asymptotes, look for 0)
Answer: (3,∞) # _______ Solve 𝑓 𝑥 = 0 given 𝑓 𝑥 = !"!!
!
!!!!.
Answer: ! !! # _______ List the equations of the vertical and/or horizontal asymptotes for the rational function 𝑦 = !!!
!!!!" .
Answer: 5 # _______ Determine ℎ(3) for ℎ 𝑥 = !!!
!!!! .
Answer: −3 # _______ As the value of 𝑥 get very large (i.e. approaches ∞) for the function 𝑦 = !"!!!!
!!!!, what value does 𝑦
approach?
Answer: 𝑥 = 5,𝑦 = 2 # _______ What is the domain of 𝑦 = !
!!!! ?
Answer: !! # _______ What is the equation of the horizontal asymptote for the function 𝑝 𝑥 = !!!!
!!!! ?
y = ______
Answer: 3 # _______ What is the domain of 𝑦 = !
!!! ?
© Virge Cornelius 2018
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