FPS- Evaluating Functions and Function Review

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a given set, typically represented as f(x).

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How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

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What does f(0) represent in a function?

Back

f(0) represents the output of the function when the input is 0.

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What does it mean if f(x) = k has multiple solutions?

Back

It means that there are multiple inputs (x-values) that produce the same output (k-value) in the function.

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What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; it shows how much the output changes for a unit change in the input.

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What is the y-intercept of a function?

Back

The y-intercept is the value of the function when the input (x) is 0, represented as f(0).

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How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's equation and simplify.

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What does the notation g(x) = 3x + 4 represent?

Back

This notation represents a linear function g where the output is calculated by multiplying the input x by 3 and then adding 4.

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What is the meaning of g(8) in the context of the bubble gum problem?

Back

g(8) = 28 means that if someone buys 8 packages of bubble gum, it costs $28.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.