Math 4 Unit 2 Piecewise Functions-Flashcard -3A Makeup

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What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas for different intervals of its domain.

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How do you evaluate a piecewise function at a specific point?

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To evaluate a piecewise function at a specific point, determine which interval the point falls into and then use the corresponding expression to find the function's value.

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What is a discontinuity in a function?

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A discontinuity in a function is a point at which the function is not continuous, meaning there is a break, jump, or hole in the graph.

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What are the types of discontinuities?

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The types of discontinuities include infinite discontinuity, removable discontinuity, and jump discontinuity.

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What is an infinite discontinuity?

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An infinite discontinuity occurs when the function approaches infinity or negative infinity as it approaches a certain point.

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What is a removable discontinuity?

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A removable discontinuity occurs when a function is not defined at a point, but can be made continuous by defining it at that point.

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What is a jump discontinuity?

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A jump discontinuity occurs when the left-hand limit and right-hand limit of a function at a certain point exist but are not equal.

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How do you find the value of a function at a point where it is undefined?

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If a function is undefined at a certain point, it means that the function does not have a value at that point, often due to division by zero or a discontinuity.

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What does it mean for a function to be continuous at a point?

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A function is continuous at a point if the limit of the function as it approaches that point equals the function's value at that point.

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How do you determine the value of x for a given f(x)?

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To determine the value of x for a given f(x), set the function equal to the given value and solve for x.