Functions, trigonometry, and algebra concepts reviewed before starting calculus.
36 cards · basic cards · AI-written, checked twice. Edit anything.
- What is a function?
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A relation where each input has exactly one output- What is the domain of a function?
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The set of all possible input values- What is the range of a function?
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The set of all possible output values- What is a one-to-one (injective) function?
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Each output value corresponds to exactly one input value- What is an onto (surjective) function?
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The range equals the codomain; every possible output is achieved- What is an inverse function?
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A function that reverses another function, denoted f^-1(x), where f(f^-1(x)) = x- What is function composition?
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Applying one function to the output of another, written (f o g)(x) = f(g(x))- What is an even function?
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A function where f(-x) = f(x) for all x in the domain- What is an odd function?
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A function where f(-x) = -f(x) for all x in the domain- What is a vertical asymptote?
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A vertical line x = a that a function approaches but never reaches- What is a horizontal asymptote?
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A horizontal line y = b that a function approaches as x approaches infinity- What is an oblique (slant) asymptote?
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A line that a rational function approaches as x approaches infinity, neither vertical nor horizontal- On the unit circle, what does sine of an angle equal?
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The y-coordinate of the point on the unit circle at that angle- On the unit circle, what does cosine of an angle equal?
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The x-coordinate of the point on the unit circle at that angle- How is tangent defined in terms of sine and cosine?
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tan(x) = sin(x) / cos(x)
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