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Function gis represented by the equation.915) = –18(3) *+ 2Which statement correctly compares the two functions on the interval [-1, 2]?

Function Gis Represented By The Equation915 183 2Which Statement Correctly Compares The Two Functions On The Interval 1 2 class=

Sagot :

step 1

Find out the average rate of change function f over the interval [-1,2]

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

we have

a=-1

b=2

f(a)=f(-1)=-22

f(b)=f(2)=-1

substitute

[tex]\frac{-1-(-22)}{2-(-1)}=\frac{21}{3}=7[/tex]

step 2

Find out the average rate of change function g(x) over the interval [-1,2]

we have

a=-1

b=2

g(a)=g(-1)=-18(1/3)^-1+2=-52

g(b)=g(2)=-18(1/3)^2+2=0

substitute

[tex]\frac{0-(-52)}{2-(-1)}=\frac{52}{3}=17.3[/tex]

therefore

17>7

the answer is option A

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