Legier Unit 1 review - modeling linear functions

Front

What is a linear function?

Back

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What does the y-intercept represent in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis. It represents the initial value of the function when the input (x) is zero.

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How do you find the slope of a linear function from two points?

Back

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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) for which the function is defined.

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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 increasing?

Back

A function is increasing if, as the input values increase, the output values also increase. This is indicated by a positive slope.

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What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease. This is indicated by a negative slope.

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How can you determine if a function is linear from a table of values?

Back

A function is linear if the differences between consecutive y-values are constant for equal intervals of x-values.

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What is a real-world example of a linear function?

Back

An example of a linear function is the cost of a gym membership, which includes a fixed registration fee plus a monthly fee.

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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 (y) changes for a unit change in the input (x).