Graphing Functions

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What is a Linear Equation?

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A Linear Equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

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What is an Absolute Value Function?

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An Absolute Value Function is a function that contains an algebraic expression within absolute value symbols. It is defined as f(x) = |x|, which outputs the non-negative value of x.

Tags

CCSS.HSF-IF.C.7D

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What is an Exponential Function?

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An Exponential Function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent. It shows rapid growth or decay.

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What is a Linear Inequality?

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A Linear Inequality is similar to a linear equation but uses inequality signs (>, <, ≥, ≤) instead of an equal sign. It represents a region of the graph rather than a line.

Tags

CCSS.HSA.REI.D.12

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How do you determine if a relation is a function?

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A relation is a function if each input (x-value) has exactly one output (y-value). This can be checked using the vertical line test on a graph.

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What does the slope of a line represent?

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The slope of a line represents the rate of change of y with respect to x. It is calculated as the rise over run (change in y over change in x).

Tags

CCSS.8.EE.B.5

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What is the y-intercept of a function?

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The y-intercept is the point where the graph of a function crosses the y-axis. It occurs when x = 0.

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What does shading above or below a line in graphing indicate?

Back

Shading above a line indicates that the solution set includes all points above the line, while shading below indicates all points below the line.

Tags

CCSS.HSA.REI.D.12

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What is the difference between a function and a non-function?

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A function has one output for each input, while a non-function may have multiple outputs for a single input.

Tags

CCSS.8.F.A.1

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What is the standard form of a linear equation?

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The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.