Pre-Calculus
Functions and Graphs flashcards
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- What is function rule?Functions, Domain, and Range
- An input-output rule with one output per input.
- Can distinct inputs share an output?Functions, Domain, and Range
- Yes; the restriction is on multiple outputs for one input.
- What is domain restrictions?Functions, Domain, and Range
- The set of permitted input values.
- What excludes a value from a rational domain?Functions, Domain, and Range
- Making the original denominator zero.
- What is range and graph reading?Functions, Domain, and Range
- The set of attained output values.
- Why state the domain before finding range?Functions, Domain, and Range
- Changing allowed inputs can change available outputs.
- What is parent functions?Parent Functions and Transformations
- A basic family graph before transformations.
- Why compare with a parent graph?Parent Functions and Transformations
- It makes shifts, reflections, and stretches easier to identify.
- What is horizontal and vertical shifts?Parent Functions and Transformations
- Translations of a graph along coordinate axes.
- Why does x−h move right?Parent Functions and Transformations
- The old reference input zero occurs at x=h.
- What is reflections and stretches?Parent Functions and Transformations
- Changing output signs or magnitudes in a function graph.
- Does an outside negative shift the vertex horizontally?Parent Functions and Transformations
- No, it reflects the output direction.
- What is composition order?Composition and Inverse Relationships
- Using one function output as another input.
- Why check both domains?Composition and Inverse Relationships
- The first output must be accepted by the second function.
- What is inverse relation?Composition and Inverse Relationships
- The relation obtained by exchanging inputs and outputs.
- When is the inverse itself a function?Composition and Inverse Relationships
- When the original function is one-to-one on its domain.
- What is one-to-one check?Composition and Inverse Relationships
- A rule in which distinct inputs have distinct outputs.
- Why restrict a quadratic domain to invert it?Composition and Inverse Relationships
- A full parabola usually repeats outputs on two sides of its vertex.
- What is quadratic shift?Transformations and Modeling with Quadratics
- The location changes in a transformed parabola.
- Which coordinate does k control?Transformations and Modeling with Quadratics
- The vertex output or vertical shift.
- What is feasible vertex?Transformations and Modeling with Quadratics
- A vertex checked against practical input restrictions.
- Why inspect domain endpoints?Transformations and Modeling with Quadratics
- A restricted interval may place its optimum at an edge.
- What is units in a model?Transformations and Modeling with Quadratics
- Interpreting coordinates and units in a quadratic application.
- Can a negative elapsed time fit a launch model?Transformations and Modeling with Quadratics
- Not when time starts at the launch event.