Quiz: Staircase Diagrams for Fixed-Point Iteration
Edexcel 9MA0 A-Level Mathematics
Ready to start this lesson?
Sign in to track your progress. 10 steps including 8 interactive questions.
Sign In to Start Learning
Students also studied
Browse allSteps in this lesson (10)
Welcome! You’ve already studied cobweb diagrams and divergence in iteration. Now, let’s test your understanding of staircase diagrams for fixed-point iteration!
What is the main feature of a staircase diagram?
Start the lesson to answer this multiple choice question
Which of the following characteristics apply to staircase diagrams? (Select all that apply)
Start the lesson to answer this multi-select question
Staircase diagrams are created by plotting the function {{blank0}} against a line of equation {{blank1}}.
Start the lesson to answer this fill in the blank question
Match the items on the left with their correct pairs on the right
Start the lesson to answer this matching question
Given f(x) = \frac{1}{2}(x + 3), calculate the second iteration starting from x₀ = 2.
Start the lesson to answer this math equation question
When does the staircase diagram fail to converge?
Start the lesson to answer this multiple choice question
Which features distinguish staircase diagrams from cobweb diagrams? (Select all that apply)
Start the lesson to answer this multi-select question
Match the items on the left with their correct pairs on the right
The staircase diagram represents the iterative process used to find a {{blank0}} by repeatedly applying the function {{blank1}}.
Start the lesson to answer this fill in the blank question
Want to Learn More?
Get personalised lessons, quizzes, and instant feedback from your AI tutor.
Explore More Topics