Final Exam Fall 2023

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What does a system of equations represent when graphed?

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A system of equations represents the point(s) where the graphs of the equations intersect. This point(s) is the solution to the system.

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What is the domain of a function?

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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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How do you find the rate of change of y with respect to x in a linear relationship?

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The rate of change is found by calculating the change in y divided by the change in x (slope).

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What is the slope-intercept form of a linear equation?

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What does it mean for a function to be linear?

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A function is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change.

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How do you determine the x-intercept of an equation?

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The x-intercept is found by setting y = 0 in the equation and solving for x.

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

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

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The slope indicates the steepness of the line and the direction of the relationship between x and y.