Question

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

Answer 1

The set that can represent an exponential function is the one in option c.

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

An exponential function is of the form:

$f(x) = A*(b)^x$

So, as x increases by one unit, we multiply the previous number by b.

From the given options, the only one that can represent an exponential function is the third one:

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

As you can see, as x increases, the value of y keeps being divided by 2.

This exponential function is:

$f(x) = 1*(1/2)^x = (1/2)^x$

Evaluating it, we get:

$f(1) = (1/2)^1 = 1/2\\\\f(2) = (1/2)^2 = 1/4\\\\f(3) = (1/2)^3 = 1/8\\\\etc...$

Then we conclude that the correct option is the third one.

If you want to learn more about exponential functions:

brainly.com/question/11464095

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