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klio [65]
2 years ago
11

Calculate the average rate of change for the function f(x) = x4 + 3x3 - 5x2 + 2x - 2, from x = -1 to x = 1

Mathematics
2 answers:
kolezko [41]2 years ago
5 0
In interval <a, b>  the average rate of change the function you count from this formula:
x=\frac{f(b)-f(a)}{b-a} \qquad b>a
Here you've got a=-1 and b=1:
f(a)=f(-1)=(-1)^4+3 \cdot (-1)^3 - 5 \cdot (-1)^2 +2 \cdot (-1)-2= \\ = 1-3-5-2-2=-11 \\ \\ f(b)=f(1)=1^4+3 \cdot 1^4 - 5 \cdot 1^2 + 2 \cdot 1 -2=1+3-5+2-2=-1 \\ \\ \hbox{So average rate of change this function is:} \\ \\ x= \frac{-1+11}{1+1}=\frac{10}{2}=5
Georgia [21]2 years ago
3 0
Workings and answer in the attachments below.

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Marginal cost is how much it would cost to make one MORE of the same product so now we find how much it costs to produce 31 radios and compare the two. 

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820 - 812 = 8. 
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