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the table below shows the function of f determine the value of f(3) that will lead to an average rate of change of 19 over the interval [3, 5]​

the table below shows the function of f determine the value of f(3) that will lead-example-1
User Mehr
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ANSWER


f(3) = - 25

Step-by-step explanation

We want to determine the value of f(3) that will lead to an average rate of change of 19 over the interval [3, 5].

The average rate of change of f(x) over the interval [a,b]:


= (f(b) - f(a))/(b - a)

If the average rate of change over the interval [3, 5] is 19, then;


(f(5) - f(3))/(5 - 3) = 19

From the to table f(5)=13


(13 - f(3))/(2) = 19


13 - f(3) = 19 * 2


13 - f(3) = 38


- f(3) = 38 - 13


- f(3) = 25


f(3) = - 25

User Kennet Jacob
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