Over which interval are the exponential and linear function approximately the same? from 0.25 to 0.5 from 0.5 to 0.75 from 0.75 to 1.0 from 1.25 to 1.5

Answer is 0.25 to 0.5

Step-by-step explanation:

Let the linear function be

and exponential function be

x          0.25   0.5    0.75    1.0     1.25    1.5

y          0.25   0.5    0.75    1.0     1.25    1.5

Diff             0.25  0.25  0.25   0.25  0.25

e^x      1.29   1.65    2.12     2.72  3.49    4.48

Diff            0.36  0.47     0.60   0.77    0.99

Hence 0.36 to be nearer to 0.25, than other intervals

So answer is 0.25 to 0.5

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step-by-step explanation:

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