Algebra 1 Bridge and Function Language flashcards

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In Expressions, Equations, and Inequalities Review, what does equivalent expressions mean?Expressions, Equations, and Inequalities Review: Expressions with equal outputs on every permitted input.
Why preserve the original domain?Expressions, Equations, and Inequalities Review: A simplification can hide an input that was undefined in the original.
In Expressions, Equations, and Inequalities Review, what does equation solution checks mean?Expressions, Equations, and Inequalities Review: A permitted input that makes both original sides equal.
Where should a candidate be checked?Expressions, Equations, and Inequalities Review: In the original equation, especially after squaring or division.
In Expressions, Equations, and Inequalities Review, what does inequality and interval review mean?Expressions, Equations, and Inequalities Review: A set of numbers satisfying a comparison.
When does the comparison sign reverse?Expressions, Equations, and Inequalities Review: When both sides are multiplied or divided by a negative number.
In Functions, Domain, and Range, what does function rule mean?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.
In Functions, Domain, and Range, what does domain restrictions mean?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.
In Functions, Domain, and Range, what does range and graph reading mean?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.
In Parent Functions and Transformations, what does parent functions mean?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.
In Parent Functions and Transformations, what does horizontal and vertical shifts mean?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.
In Parent Functions and Transformations, what does reflections and stretches mean?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.
In Composition and Inverse Relationships, what does composition order mean?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.
In Composition and Inverse Relationships, what does inverse relation mean?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.
In Composition and Inverse Relationships, what does one-to-one check mean?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.