Solving Functions

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What is a function in mathematics?

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A function is a relation that assigns exactly one output for each input from a set of inputs.

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CCSS.8.F.A.1

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What does it mean to evaluate a function?

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To evaluate a function means to calculate the output value for a given input.

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CCSS.HSF.IF.A.2

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What is the notation for a function?

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Functions are often denoted by letters such as f(x), g(x), or h(x), where x is the input.

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CCSS.HSF.IF.A.2

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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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What is the range of a function?

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The range of a function is the set of all possible output values (y-values) that the function can produce.

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How do you find the value of f(x) for a given x?

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Substitute the value of x into the function's equation and simplify to find f(x).

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CCSS.HSF.IF.A.2

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What is a linear function?

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A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

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CCSS.HSF.LE.A.2

CCSS.8.F.B.4

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What is a quadratic function?

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A quadratic function is a function that can be expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

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What is the difference between independent and dependent variables?

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The independent variable is the input of the function (x), while the dependent variable is the output (f(x)).

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CCSS.6.EE.C.9

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What is a piecewise function?

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A piecewise function is a function that is defined by different expressions for different intervals of the input.

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CCSS.HSF-IF.C.7B