12/11/23 Warm-Up Algebra

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What is the Domain in a function?

Back

The set of all possible input values (x-values) for a function. For example, in the function f(x) = x^2, the domain is all real numbers.

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What is the Range in a function?

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The set of all possible output values (y-values) for a function. For example, in the function f(x) = x^2, the range is y ≥ 0.

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It represents a region on a graph where the values of x and y satisfy the inequality.

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First, simplify both sides: 25 - 2.5x + 2x > 10x - 16 - 1. Then combine like terms and isolate x to find that x < 4.

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What is a linear inequality?

Back

An inequality that can be written in the form ax + by < c, where a, b, and c are constants.

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What is the difference between an equation and an inequality?

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An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

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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 graphically represented as a straight line, typically in the form y = mx + b.

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

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The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

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What is the y-intercept of a linear function?

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The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, b) in the equation y = mx + b.

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How do you graph a linear inequality?

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Graph the corresponding linear equation as a dashed or solid line, then shade the appropriate region based on the inequality sign.