Find the average rate of change of f(x)=2x^2-7x from x=2 to x=6
2 answers:
Answer:
Step-by-step explanation:
The average rate of change of a function f between a and b (a< b) is :
R =[f(b)-f(a)] ÷ (a-b)
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Let R be the average rate of change of this function
f(6) = 2×6^2 - 7×6 = 72-42 = 30
f(2) = 2×2^2 - 7×2 = 8-14 = -6
R = [f(6) - f(2)]÷ (6-2)
R = [30-(-6)] ÷ 4
R = -36/4
R = -9
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The average rate of change of this function is -9
Answer:
Step-by-step explanation:
You can find the average rate of change of any function using the following formula:
Now, let:
Let's evaluate the function for and :
Therefore, the average rate of change of the function over the interval given is:
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