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.
30 cards · basic cards · AI-written, checked twice. Edit anything.
- What is a function's domain?
- The set of all valid input values
- What is a function's range?
- The set of all possible output values
- What is the vertical line test used to determine?
- Whether a graph represents a function
- What is the horizontal line test used to determine?
- Whether a function is one-to-one (invertible)
- What is an even function's graph symmetric about?
- The y-axis
- What is an odd function's graph symmetric about?
- The origin
- What is a piecewise function?
- A function defined by different rules on different intervals
- What is function composition?
- Applying one function to the output of another
- What is the notation for the composition of f and g?
- (f o g)(x), meaning f(g(x))
- What is an inverse function?
- A function that reverses the input-output relationship of the original
- How are the graphs of a function and its inverse related?
- They are reflections of each other across the line y = x
- What transformation does f(x) + k represent?
- A vertical shift
- What transformation does f(x - h) represent?
- A horizontal shift
- What transformation does -f(x) represent?
- A reflection over the x-axis
- What transformation does f(-x) represent?
- A reflection over the y-axis
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