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3 cards from this section. Quick, good the night before a test.
What is the domain of the function f(x) = x + 3 if the domain is chosen from the set {1, 2, 3}?
Just identify the set of input values.
Given a function g: {A, B, C} → {1, 2}, what is the co-domain?
Look at the output set of the function.
What is the domain of the function f: {x | x is an integer, x ≥ 0}?
Focus on the restrictions mentioned in the function definition.
Is the co-domain always equal to the range?
Think about whether all potential outputs will be realized.
Design a function with a set domain: {1, 2, 3} and a co-domain of {x, y, z}. If f(1)=x, f(2)=y, f(3)=z, discuss the range and the function’s implications.
Identify how outputs relate to inputs and discuss uniqueness.
Create a function with domain {0, 1, 2} but restrict its outputs only to positive integers. Examine the co-domain, range, and implications for the function.
Consider the imposed limitations on outputs and how that alters their relationships.
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