A function assigns the values. The average rate of change for the given function g(x) is 1.
A function assigns the value of each element of one set to the other specific element of another set.
The average rate of change of a function is given by the formula,
Average rate of change, = [f(b)-f(a)]/(b-a), [a,b]
Where a is the lower limit and b is the upper limit.
Given the upper limit for the function is 0, therefore, the value of a is 0, similarly, the value of b is -9. Thus,
a = 0
g(a) = 0²+10(0)+20 = 20
b = -9
g(b) = (-9)²+10(-9)+20 = 11
The average rate of change for the function g(x), can be written as,
[tex]\text{Average rate of change}= \dfrac{g(-9)-g(0)}{-9-0}=\dfrac{11-20}{-9} = 1[/tex]
Hence, the average rate of change for the given function g(x) is 1.
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