Answer:
Option B: grows at the fastest rate for increasing values of x
Step-by-step explanation:
Given the function
we have to find the average rate of change for the quadratic function from x=−3 to x = 8
Now, given function is
we have to find the average rate of change for the quadratic function from x=−3 to x = 1
Now, we have to choose the function which grows at the fastest rate for increasing values of x.
Since we know that quadratic function grows faster than a linear function and an exponential function grows faster than a quadratic function, so the function of an exponential function will have the fastest rate for increasing value of x.
Since an exponential function is in form:
From the given choices we can see that function represented by option A is a linear function, function represented by option B is exponential function and function represented by option C is a quadratic function.
Option B:
∴ option B is the correct choice.