Practice Rates Of Change (1) - Rates of Change - IB 10 Mathematics

Practise this section

9 questions

Flashcard drill
3 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
3 questions · about 2 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
Calculate f(4) and f(1) first.
Question 2.
What is the instantaneous rate of change for s(t) = 4t^2 - t + 1 at t = 2?
Show hintHide hint
Differentiate s(t) first.
3Question 3.
What does the Average Rate of Change signify?
- The change of a function over time
- The slope of a tangent line
- The slope of a secant line
Show hintHide hint
Remember the definition of AROC.
4Question 4.
Is the derivative used to find the IROC?
- True
- False
Show hintHide hint
What role does the derivative play?
Question 5.
A function is given: f(x) = 2x^3 + 3x - 5. Calculate both AROC from x=1 to x=2 and IROC at x=1.
Show hintHide hint
Remember to compute f(a) and f(b) for AROC and use differentiation for IROC.
Question 6.
Using g(t) = -3t^2 + 12t + 5, find the AROC from t=0 to t=4 and determine the IROC at t=2.
Show hintHide hint
Calculate the function values first and differentiate for IROC.

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