Questions and Answers
What is the domain of a function?
What is the range of a function?
What is the x-intercept?
The place where a function crosses or touches the x-axis.
What is the y-intercept?
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What defines a function?
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A one-to-one function has each element of the range paired with more than one element of the domain.
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What is the vertical line test?
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What is the horizontal line test used for?
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What is the maximum point on a graph?
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What is the minimum point on a graph?
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What is a vertex in the context of functions?
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What is a turning point?
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What is an inflection point?
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What is an increasing interval?
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What is a decreasing interval?
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What is end behavior in functions?
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Study Notes
Function Characteristics Vocabulary
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Domain: All possible x-values for a function.
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Range: All possible y-values for a function.
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x-intercept: The point where the function intersects the x-axis, represented as (x, 0).
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y-intercept: The point where the function intersects the y-axis, represented as (0, y).
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Function: A relation that pairs each element in the domain with exactly one element in the range, ensuring each x correlates to one y.
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One-to-one function: A function in which each element of the range corresponds to exactly one element of the domain; every y has a unique x.
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Vertical Line Test: A visual method used to assess if a relation is a function by checking if each x-value corresponds to only one y-value.
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Horizontal Line Test: A visual method to determine if a function is one-to-one by checking if each y-value corresponds to only one x-value.
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Maximum: The highest point of a graph, visually resembling a peak.
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Minimum: The lowest point of a graph, visually resembling a valley.
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Vertex: The point on a graph that is either the highest (maximum) or the lowest (minimum) of the function.
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Turning Point: A point where the graph's direction changes, marking transitions from increasing to decreasing or vice versa; includes maximums and minimums.
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Inflection Point: A point on the graph where the concavity changes between concave up and concave down.
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Increasing Interval: An x-interval indicating where the function rises as x increases, represented in the form (x, x).
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Decreasing Interval: An x-interval indicating where the function falls as x increases, represented in the form (x, x).
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End behavior: Describes the behavior of y-values as x approaches negative or positive infinity, noted as x → -∞, y → and x → ∞, y → .
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Description
Test your knowledge of key vocabulary terms related to functions in Algebra 2. This quiz covers essential concepts like domain, range, and intercepts, providing a solid foundation for understanding function characteristics. Perfect for students looking to reinforce their learning.