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Which exponential function has a growth factor of 1/2?

Which exponential function has a growth factor of 1/2?-example-1
User Andy Gauge
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2 Answers

4 votes

Answer:

upper graph

Explanation:

User Tylerargo
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3 votes

Answer:

The upper graph

Explanation:

An exponential function with base b is defined by ƒ(x) = a(b)ˣ.

The base b is the growth factor — the factor by which each successive term is multiplied.

If b < 1, we have a situation of exponential decay.

The upper graph fits that description.

Furthermore, the function appears to be

ƒ(x) = ½(½)ˣ,

because

f(0) = ½(½)⁰ = ½ × 1 = ½

and we have a y-intercept at (0, ½)

The bottom table is wrong, because the growth factor is 2 and the function is an example of exponential growth.

User LandonC
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5.8k points