Comparing Functions- Georgia Milestone Review

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What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, y).

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How do you find the y-intercept from an equation?

Back

To find the y-intercept from an equation in the form y = mx + b, set x to 0. The value of y when x is 0 is the y-intercept.

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What does the slope of a line represent in a function?

Back

The slope represents the rate of change of the function; it indicates how much y changes for a unit change in x.

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What is the equation of a linear function?

Back

The equation of a linear function is typically written in the form y = mx + b, where m is the slope and b is the y-intercept.

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How can you compare two linear functions?

Back

You can compare two linear functions by analyzing their slopes and y-intercepts to determine which function grows faster or has a higher starting value.

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What does the term 'per-visit fee' mean in a gym membership context?

Back

The per-visit fee is an additional charge that members pay for each visit to the gym, on top of their monthly membership fee.

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If a function is represented by a table, how can you identify the y-intercept?

Back

In a table, the y-intercept is the value of y when x is 0.

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What is the significance of the y-intercept in a real-world scenario?

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The y-intercept often represents a starting value or fixed cost in real-world scenarios, such as monthly fees or initial quantities.

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How do you determine which service is cheaper based on equations?

Back

To determine which service is cheaper, calculate the total cost for the same number of units (e.g., movies) for each service and compare the results.