Practice Practice Exercises (for Students) (1.10) - Rates of Change - IB 10 Mathematics

Practise this section

8 questions

Flashcard drill
4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Find the average rate of change of f(x) = 3x^2 - 2x from x = 1 to x = 4.
Show hintHide hint
Use the formula (f(b) - f(a)) / (b - a).
Question 2.
What is the instantaneous rate of change of f(x) = 2x + 3 at x = 3?
Show hintHide hint
Find the derivative of the function.
3Question 3.
What is the average rate of change?
- The rate at a specific point
- The overall change over an interval
- The slope of the tangent line
Show hintHide hint
Think about the formula involving two points.
4Question 4.
True or False: The instantaneous rate of change is given by a derivative.
- True
- False
Show hintHide hint
Recall how derivatives define slopes.
Question 5.
Given the function f(x) = -2x^2 + 4x + 1, determine the average rate of change from x = 0 to x = 2, and explain what this means in practical terms.
Show hintHide hint
Use the average rate of change formula.
Question 6.
For the function g(t) = t^3 - 12t + 5, find the instantaneous rate of change at t = 2 and determine its significance.
Show hintHide hint
Calculate g'(t) first.

4 more questions in this section. Enroll free to practise them all.