Give the function f(x) = 3 ^ x - 4x determine the average rate of change from x = 1 x = 2

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13-05-2020
Mathematics

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Give the function f(x) = 3 ^ x - 4x determine the average rate of change from x = 1 x = 2

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IconicRaptor IconicRaptor · Answer 1 · 2020-05-13T04:15:33+02:00

Answer:

2

Step-by-step explanation:

Given the average rate of change formula, we must first find the x and y values of the function.

We are provided with the two x values, 1 and 2. We now need to find the output, or y.

ƒ(x)=3^x-4x

ƒ(1)=3-4=-1

ƒ(2)=9-8=1

Then, we use the formula (ƒ(2)-ƒ(1))/x2-x1(subscripts here, in case you multiplied) which gets us 2/1, or 2. Therefore, the average rate of change(ARC) is 2. I believe you just need to find the output and subtract if they are exactly one whole number apart, but don't quote me on that.