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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define average rate of change.
💡 Hint: It involves two points on a graph.
Question 2
Easy
Provide the formula for instantaneous rate of change.
💡 Hint: Think of limits as h approaches zero.
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 average rate of change of a function?
- The slope of a tangent line
- The slope of a secant line
- A constant change
💡 Hint: Think about two points on a graph.
Question 2
True or False: Instantaneous rate of change is the same as average rate of change.
- True
- False
💡 Hint: One is about a point, the other around a stretch.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A drone flies high above a city, ascending in height, governed by the equation h(t) = 2t^2 + 3t. Determine the average rate of change in height from t=1 to t=4 seconds.
💡 Hint: Use the height function to find endpoint values.
Question 2
A car’s distance over time is modeled as d(t) = 10t^2. At t=3, find the instantaneous rate of change of distance.
💡 Hint: Differentiate the distance function first.
Challenge and get performance evaluation