What is the avgchangerate g(x)=-x^2+4x+9,-2<= x<= 4 ?

The avgchangerate g(x)=-x^2+4x+9,-2<= x<= 4 is 1/3

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Find the Average Rate of Change Given the function g(x)=-x^2+4x+9 , determine the average rate of change of the function over the interval -2<=x<=4

average rate of change

g (x) = - x^{2} + 4 x + 9, - 2 \leq x \leq 4

\frac{1}{3}

Solution steps

= \frac{g ( 4 ) - g ( - 2 )}{4 - ( - 2 )}

g (- 2) = 7

g (4) = 9

= \frac{9 - 7}{4 - ( - 2 )}

\frac{9 - 7}{4 - ( - 2 )} = \frac{1}{3}

The average rate of change is:

= \frac{1}{3}

y = lo g_{10} (x)

f (x) = lo g_{10} (x) - 4

lo g_{3} (\frac{a}{3})

m = \frac{1}{3}, (- 3, 7)

y + 1 = \frac{- 1}{2 x}, (- 8, 7)

What is the avgchangerate g(x)=-x^2+4x+9,-2<= x<= 4 ?
The avgchangerate g(x)=-x^2+4x+9,-2<= x<= 4 is 1/3