Can someone explain to me how they got the answer ?

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The following is a partial table of values for f = f (x). (Round your answers to two decimal places.)
x0246
f = f (x)32.336.040.143.7
(a) Estimate the value of f (5) by averaging.
(No Response)  

41.9

 

(b) Find the average rate of change for f between x = 4 and x = 6.

(No Response)  

1.8

Oct 3rd, 2015

Thank you for the opportunity to help you with your question!

(a) Estimate the value of f (5) by averaging.

to get it, you plugin 5 everywhere x is occurring and you solve the equation.

so if f=f(x) and x = 5  then f =f(5)


(43.7 +40.1)/2 = 41.9

(b) Find the average rate of change for f between x = 4 and x = 6.
(No Response) 


Rate of change = Difference between the two values / difference of values of x


=(43.7 +40.1)/ 6-4

=3.6/2

=1.8




Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 15th, 2015

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