Flashcardizz Unit 5 Review Mixed Practice

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What is a relative maximum in a graph?

Back

A relative maximum is a point on a graph where the function value is higher than the values of the function at nearby points.

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What is a relative minimum in a graph?

Back

A relative minimum is a point on a graph where the function value is lower than the values of the function at nearby points.

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How do you determine the range of a function from its graph?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce, which can be identified by looking at the vertical extent of the graph.

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Back

This notation represents the range of all real numbers from negative infinity to positive infinity.

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How do you find the x-intercepts of a graph?

Back

The x-intercepts of a graph are found by determining the points where the graph crosses the x-axis, which occurs when the output value (y) is zero.

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What is the significance of x-intercepts in a function?

Back

X-intercepts indicate the values of the independent variable (x) for which the function outputs zero, showing where the function changes from positive to negative or vice versa.

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What is the difference between a function's domain and range?

Back

The domain is the set of all possible input values (x-values) for a function, while the range is the set of all possible output values (y-values).

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What does it mean if a graph has no x-intercepts?

Back

If a graph has no x-intercepts, it means that the function does not cross the x-axis, indicating that it does not have any real roots.

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How can you identify a relative maximum or minimum from a graph?

Back

A relative maximum can be identified as a peak point on the graph, while a relative minimum can be identified as a valley point.

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What is the importance of identifying relative maxima and minima in real-world applications?

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Identifying relative maxima and minima is crucial in optimization problems, where one seeks to maximize or minimize a quantity, such as profit or cost.