Practice Average Rate Of Change (aroc) (1.3) - Rates of Change - IB 10 Mathematics – Group 5, Calculus

Practice: Average Rate of Change (AROC)

Lesson 1.3Rates of Change

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10 questions

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6 sample questions

Question 1.
Find the average rate of change of f(x) = 3x^2 - 2x from x = 1 to x = 4.
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Use the formula \\(\\frac{f(b) - f(a)}{b - a}\\)
Question 2.
What is the average rate of change of the function f(x) = 2x + 3 from x = 0 to x = 5?
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Plug in the values into the rate of change formula.
3Question 3.
What is the formula for Average Rate of Change?
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Remember the definition.
4Question 4.
True or False: The instantaneous rate of change can be determined by the slope of a secant line.
- True
- False
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Think about what a secant line represents.
Question 5.
A new species is introduced to an island where its population grows according to the function p(t) = 50e^(0.03t). Calculate both the average rate of change from t = 0 to t = 10 and the instantaneous rate of change at t = 10.
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Use the population growth function and apply the respective formulas.
Question 6.
A car travels a distance modeled by the function d(t) = 3t^2 + 2t from t = 0. Calculate the AROC from t = 1 to t = 3, and find the IROC at t = 2.
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Evaluate d(3) and d(1), then differentiate for IROC.

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