Practice - Functions
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Practice Questions
Test your understanding with targeted questions
Define a function in your own words.
💡 Hint: Think about mappings between sets.
What is the domain of the function f(x) = x^2?
💡 Hint: Consider what values x can take.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the set of inputs for a function known as?
💡 Hint: Think of where the inputs come from.
True or False: A bijective function must always be injective.
💡 Hint: Consider the definitions of injective and bijective.
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Challenge Problems
Push your limits with advanced challenges
Consider the function f(x) = x^2 defined on the domain [-2, 2]. Identify the range. What type of function is it?
💡 Hint: Think of the values that x can take.
If h(x) = 2x + 1 and k(x) = (x - 1)/2, prove that k is the inverse of h.
💡 Hint: Evaluate both compositions and simplify.
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Reference links
Supplementary resources to enhance your learning experience.