Graphs of functions with up to three parts to their domains (AQA GCSE Further Maths): Quizzes
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12 questions from this quiz
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Practise the questions
12 questions from this quiz
What is a piecewise function?
What is a piecewise function?
A function with different rules for parts
What is the critical rule about x-values in piecewise function domains?
What is the critical rule about x-values in piecewise function domains?
Each x-value in exactly one domain part
What does the symbol indicate in piecewise function notation?
What does the symbol indicate in piecewise function notation?
The endpoint is included
On a graph, what does an empty circle at a boundary point indicate?
On a graph, what does an empty circle at a boundary point indicate?
The point is excluded from the domain
What is the gradient of a constant function ?
What is the gradient of a constant function ?
Zero
What type of graph does a linear function create?
What type of graph does a linear function create?
Straight line segments
What shape does a quadratic function create?
What shape does a quadratic function create?
Curved parabolic segments
How many outputs should a piecewise function give for each input?
How many outputs should a piecewise function give for each input?
Exactly one
In velocity-time problems, what do different segments represent?
In velocity-time problems, what do different segments represent?
Phases like acceleration or constant speed
How is distance traveled calculated from a velocity-time graph?
How is distance traveled calculated from a velocity-time graph?
Area under the velocity-time curve
Must piecewise functions be continuous?
Must piecewise functions be continuous?
No, they can have jumps or breaks
What is the first step in graphing a piecewise function?
What is the first step in graphing a piecewise function?
Identify each part of the function