Regents Exam Questions CC.F.LE.1: Families of Functions
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Name: __________________________________
CC.F.LE.1 Families of Functions: Distinguish between situations that can be
modeled with linear functions and with exponential functions. a. Prove that linear
functions grow by equal differences over equal intervals, and that exponential
functions grow by equal factors over equal intervals. b. Recognize situations in
which one quantity changes at a constant rate per unit interval relative to another.
c. Recognize situations in which a quantity grows or decays by a constant percent
rate per unit interval relative to another.
1 Which table of values represents a linear
relationship?
1)
of 5% per year, compounded annually
2) a population of bacteria that doubles every
4.5 hours
3) the cost of cell phone service that charges a
base amount plus 20 cents per minute
4) the concentration of medicine in a person’s
body that decays by a factor of one-third
every hour
2)
3 The table below shows the average yearly
balance in a savings account where interest is
compounded annually. No money is deposited
or withdrawn after the initial amount is
deposited.
3)
4)
2 Which situation could be modeled by using a
linear function?
1) a bank account balance that grows at a rate
Which type of function best models the given
data?
1) linear function with a negative rate of
change
2) linear function with a positive rate of
change
3) exponential decay function
4) exponential growth function
Regents Exam Questions CC.F.LE.1: Families of Functions
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Name: __________________________________
4 On January 1, a share of a certain stock cost
$180. Each month thereafter, the cost of a share
of this stock decreased by one-third. If x
represents the time, in months, and y represents
the cost of the stock, in dollars, which graph
best represents the cost of a share over the
following 5 months?
1)
5 Antwaan leaves a cup of hot chocolate on the
counter in his kitchen. Which graph is the best
representation of the change in temperature of
his hot chocolate over time?
1)
2)
2)
3)
3)
4)
4)
6 Rachel and Marc were given the information shown below about the bacteria growing in a
Petri dish in their biology class.
Rachel wants to model this information with a linear function. Marc wants to use an
exponential function. Which model is the better choice? Explain why you chose this
model.
Regents Exam Questions CC.F.LE.1: Families of Functions
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ANS: 3
REF: 011505ai
ANS: 3
REF: 081412ai
ANS: 4
REF: 061406ai
ANS: 3
REF: 011119a2
ANS: 1
REF: 010905ia
ANS:
Exponential, because the function does not grow at a constant rate.
REF: 081527ai