Ben Shaver

2022-01-06

Which set of ordered pairs could be generated by an exponential function?

A. (1, 1) (2, 1/2) (3, 1/3) (4, 1/4)

B. (1, 1) (2, 1/4) (3, 1/9) (4 1/16)

C. (1, 1/2) (2, 1/4) (3, 1/8) (4, 1/16)

D. (1, 1/2) (2, 1/4) (3, 1/6) (4, 1/8)

A. (1, 1) (2, 1/2) (3, 1/3) (4, 1/4)

B. (1, 1) (2, 1/4) (3, 1/9) (4 1/16)

C. (1, 1/2) (2, 1/4) (3, 1/8) (4, 1/16)

D. (1, 1/2) (2, 1/4) (3, 1/6) (4, 1/8)

Kirsten Davis

Beginner2022-01-07Added 27 answers

Determine the ration of each pair of consecutive y-values for each option

Option A

$\frac{\frac{1}{2}}{1}=\frac{1}{2}=0.5$

$\frac{\frac{1}{3}}{\frac{1}{2}}=\frac{2}{3}\approx 0.66$

$\frac{\frac{1}{4}}{\frac{1}{3}}=\frac{3}{4}=0.75$

Option B

$\frac{\frac{1}{4}}{1}=\frac{1}{4}=0.25$

$\frac{\frac{1}{9}}{\frac{1}{4}}=\frac{4}{9}\approx 0.44$

$\frac{\frac{1}{16}}{\frac{1}{9}}=\frac{9}{16}=0.5625$

Option C

$\frac{\frac{1}{4}}{\frac{1}{2}}=\frac{2}{4}=\frac{1}{2}=0.5$

$\frac{\frac{1}{8}}{\frac{1}{4}}=\frac{4}{8}=\frac{1}{2}=0.5$

$\frac{\frac{1}{16}}{\frac{1}{8}}=\frac{8}{16}=\frac{1}{2}=0.5$

Option D

$\frac{\frac{1}{4}}{\frac{1}{2}}=\frac{2}{4}=\frac{1}{2}=0.5$

$\frac{\frac{1}{6}}{\frac{1}{4}}=\frac{4}{6}=\frac{2}{3}\approx 0.6667$

$\frac{\frac{1}{8}}{\frac{1}{6}}=\frac{6}{8}=\frac{3}{4}=0.75$

Thus, we can see, that we have a constant answer for the option C, and it can be generated by an exponential function.

Option A

Option B

Option C

Option D

Thus, we can see, that we have a constant answer for the option C, and it can be generated by an exponential function.

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function

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