Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take mock test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the AROC of \(f(x) = 2x + 3\) from \(x = 1\) to \(x = 5\).
💡 Hint: Use the formula \\( \\frac{f(b) - f(a)}{b - a} \\).
Question 2
Easy
For \(f(x) = x^2\), determine the AROC from \(x = 0\) to \(x = 2\).
💡 Hint: Calculate \\(\\frac{f(2) - f(0)}{2 - 0}\\).
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?
- \\(\\frac{f(b) - f(a)}{b - a}\\)
- \\(\\lim_{h \\to 0} \\frac{f(a + h) - f(a)}{h}\\)
- \\(f'(x)\\)
💡 Hint: Think about what AROC measures.
Question 2
True or False: The IROC measures the change of a function over an interval.
- True
- False
💡 Hint: Remember the difference between AROC and IROC.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the function \(f(x) = \ln(x)\), find the AROC from \(x = 1\) to \(x = e\).
💡 Hint: Remember that \\(\\ln(e) = 1\\) and \\(\\ln(1) = 0\\).
Question 2
If the height of a rocket is described by \(h(t) = 4t^2 + 2t\), calculate the IROC when \(t = 3\).
💡 Hint: Differentiate the height function to find the rate of change.
Challenge and get performance evaluation