find the average rate of change for f(x)=x² - 8x + 15 from x = 0 to x = 4. a -2 b -4 c 2 d 4

Explanation:

Step1: Calculate f(0)

Substitute x = 0 into f(x): $f(0)=0^{2}-8\times0 + 15=15$

Step2: Calculate f(4)

Substitute x = 4 into f(x): $f(4)=4^{2}-8\times4 + 15=16-32 + 15=-1$

Step3: Use average - rate - of - change formula

The average rate of change formula is $\frac{f(b)-f(a)}{b - a}$, where a = 0, b = 4. $\frac{f(4)-f(0)}{4 - 0}=\frac{-1-15}{4}=\frac{-16}{4}=-4$

Answer:

B. -4