Which set of ordered pairs could be generated by an exponential function? A. (-1,-1/2), (0, 0),(1,1/2), (2, 1) B. (–1, –1), (0, 0), (1, 1), (2, 8) C. (-1,1/2), (0, 1), (1, 2), (2, 4) D. (–1, 1), (0, 0), (1, 1), (2, 4)

Phoebe 2020-10-31 Answered
Which set of ordered pairs could be generated by an exponential function?
A. (1,12), (0, 0),(1,12), (2, 1)
B. (–1, –1), (0, 0), (1, 1), (2, 8)
C. (1,12), (0, 1), (1, 2), (2, 4)
D. (–1, 1), (0, 0), (1, 1), (2, 4)
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Expert Answer

hesgidiauE
Answered 2020-11-01 Author has 106 answers

An exponential function has the property that the y-values are multiplied by some common factor a when x incresses by 1.
We note that ench set of ordered pairs contains -1, 0, 1, and 2 as x-values, which are increments of 1.
Let us next determine the ratio of each pair of consecutive y-values for each option.
Answer option A
012=0
(12)0= Does not: exist
112=2
Answer option B
01=0
10= Does not exist
81=8
Answer option C
112=2
21=2
42=2
Answer option Does
01=0
10=Does no exist
41=4
We note that the three ratios are only constant for answer option C and thus answer option C could be generated by an exponential function.
C. (1,12),(0,1),(1,2),(2,4)

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