Identify Functions 8th Grade Math STAAR Review

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What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

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How can you identify if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value). This can be checked using the vertical line test on a graph.

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What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

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What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

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What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

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What does it mean for a function to be linear?

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A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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What is a slope in a linear function?

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The slope of a linear function is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

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What is a y-intercept?

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The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, b) in the equation y = mx + b.

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What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants.

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How do you find the vertex of a quadratic function?

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The vertex of a quadratic function in standard form can be found using the formula x = -b/(2a), and then substituting x back into the function to find y.