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bekas [8.4K]
3 years ago
5

Determine if the function f is an exponential function. If so, identify the base. If not, why not? F(x)= x^ -3

Mathematics
1 answer:
Flura [38]3 years ago
7 0

Answer:

  Not an exponential function. The exponent is a constant.

Step-by-step explanation:

An exponential function has the variable in the exponent. This function raises the variable to a fixed power, so it is not an exponential function.

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Step-by-step explanation:

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What is the average rate of change of f over the interval -1 on a separate sheet of paper and upload the work as a photo. Show a
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Answer:

Average rate of change for the function f(x)= x^2-x-1 over the interval -1<x<1 is -1

Step-by-step explanation:

We need to find average rate of change of f over the interval -1 < x < 1

The function given is: f(x)= x^2-x-1

The formula used to find average rate of change is:

Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}

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Finding f(b) when b=1

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Now, finding f(a), when a= -1

f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1

Now, putting values and finding average rate of change

Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1

So, average rate of change for the function f(x)= x^2-x-1 over the interval -1<x<1 is -1

4 0
3 years ago
The scale on a map is 3 inches = 40 miles. How far apart are two cities if the distance between them on the map is 6¾ inches?
wel

Answer:

90 miles

Step-by-step explanation:

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7 0
3 years ago
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