Question

decide whether the following statement is true or false. the average rate of change of ( f(x)=3x + 9 ) is 9. select the correct choice and, if necessary, fill in the answer box within your choice. a. true b. false, the average rate of change is

Explanation:

Step1: Recall the formula for the average rate of change

The average rate of change of a function \(y = f(x)\) over an interval \([a,b]\) is given by \(\frac{f(b)-f(a)}{b - a}\).
For \(f(x)=3x + 9\), \(f(b)=3b+9\) and \(f(a)=3a + 9\).

Step2: Calculate \(\frac{f(b)-f(a)}{b - a}\)

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Answer:

B. False, the average rate of change is \(3\)