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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) = 2x + 3 from x = 0 to x = 5.
💡 Hint: Use the formula (f(b)-f(a))/(b-a).
Question 2
Easy
Calculate the AROC for f(x) = x^2 from x = 1 to x = 4.
💡 Hint: Compute f(4) and f(1), then use the 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 does AROC represent in a function?
- The slope at a point
- The average slope over an interval
- No relation to slope
💡 Hint: Think about how we measure changes over time.
Question 2
True or False: The IROC at a point can be found using the derivative of a function.
- True
- False
💡 Hint: Remember the definition of a derivative.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A ball is thrown and its height is described by h(t) = -16t^2 + 32t + 5. Find the average rate of change from t = 1 to t = 3.
💡 Hint: Evaluate the height function at the given time points.
Question 2
For the function f(x) = x^3 - 4x, find the IROC at x = 2.
💡 Hint: Be sure to derive the function before substituting.
Challenge and get performance evaluation