Precalculus, Unit 1: Functions and Their Graphs. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.
40 cards · basic cards · AI-written, checked twice. Edit anything.
- What is a function's domain?
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The set of all valid input values- What is a function's range?
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The set of all possible output values- What is the vertical line test used to determine?
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Whether a graph represents a function- What is the horizontal line test used to determine?
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Whether a function is one-to-one (invertible)- What is an even function's graph symmetric about?
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The y-axis- What is an odd function's graph symmetric about?
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The origin- What is a piecewise function?
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A function defined by different rules on different intervals- What is function composition?
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Applying one function to the output of another- What is the notation for the composition of f and g?
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(f o g)(x), meaning f(g(x))- What is an inverse function?
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A function that reverses the input-output relationship of the original- How are the graphs of a function and its inverse related?
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They are reflections of each other across the line y = x- What transformation does f(x) + k represent?
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A vertical shift- What transformation does f(x - h) represent?
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A horizontal shift- What transformation does -f(x) represent?
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A reflection over the x-axis- What transformation does f(-x), negating the input, represent?
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A reflection over the y-axis
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