Answer:
1) The average rate of change is 8.
2) The average rate of change is 112.
3) f(x) grows at the fastest rate.
Step-by-step explanation:
1) Given : Function
To find : What is the average rate of change for the quadratic function from x=−3 to x = 8?
Solution :
The average rate of change is
Where, a=-3 and b=8
The average rate of change is 8.
2) Given : Function
To find : What is the average rate of change for the quadratic function from x=−2 to x = 2?
Solution :
The average rate of change is
Where, a=-2 and b=2
The average rate of change is 112.
3) To find : Which function grows at the fastest rate for increasing values of x?
Solution :
1) is an exponential function.
2) is a quadratic function.
3) is a linear function.
Increasing values of x will increase exponentially.
So, it will grow at the fastest rate.
f(x) grows at the fastest rate.