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ok so I have three questions I am struggling with.

 

1.) The table of values represents a polynomial function f (x). 

How much greater is the average rate of change over the interval [7, 9] than the interval   [4, 6]?

x      f(x)

4     358

5      690

6     1178

7     1852

8     2742

9     3878

 

2.) What is (f+g)(x)?

 

f(x)= x3​ - x

 

g(x)=  x3+2x2-10

 

3.) 

What is (f⋅g)(x)?

 

f(x)=x2+2x−6

 

g(x)=x4+3

 Dec 21, 2018
 #1
avatar+6252 
+1

ˉΔ[7,9]=3878185297=1013ˉΔ[4,6]=117835864=410ˉΔ[7,9]ˉΔ[4,6]=1013410=603

 

f(x)=x3xg(x)=x3+2x210(f+g)(x)=f(x)+g(x)=2x3+2x2x10

 

f(x)=x2+2x6g(x)=x4+3(fg)(x)=f(x)g(x)=x4+x2+2x9

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 Dec 21, 2018
edited by Rom  Dec 21, 2018
 #2
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the third one was supposed to be f times g not minus.

thanks for your help though

Guest Dec 21, 2018
 #3
avatar+6252 
+1

(fg)(x)=(x2+2x6)(x4+3)I leave the multiplication to you

Rom  Dec 21, 2018

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