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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the average rate of change of f(x) = 3x^2 - 2x from x = 1 to x = 4.
💡 Hint: Use the formula \\(\\frac{f(b) - f(a)}{b - a}\\)
Question 2
Easy
What is the average rate of change of the function f(x) = 2x + 3 from x = 0 to x = 5?
💡 Hint: Plug in the values into the rate of change formula.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the formula for Average Rate of Change?
💡 Hint: Remember the definition.
Question 2
True or False: The instantaneous rate of change can be determined by the slope of a secant line.
- True
- False
💡 Hint: Think about what a secant line represents.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
💡 Hint: Use the population growth function and apply the respective formulas.
Question 2
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.
💡 Hint: Evaluate d(3) and d(1), then differentiate for IROC.
Challenge and get performance evaluation