Question

Given the function, f(x)=x^2-3x+6, find the average rate of change over the interval [-1,2]

Answer 1

• - 2

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The average rate of change of a function over the interval between a and b is:

• [f(b) - f(a)]/(b - a)

Substitute values into given function to get:

• f(2) = 2² - 3*2 + 6 = 4
• f(-1) = (-1)² - 3(-1) + 6 = 10

Find the average rate of change:

• [f(2) - f(-1)]/[2 - (-1)] =
• (4 - 10)/3 =
• - 6/3 =
• - 2