4-3 Writing 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.

Tags

CCSS.8.F.A.1

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What is the independent variable in an experiment?

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The independent variable is the variable that is changed or controlled in a scientific experiment to test its effects on the dependent variable.

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What is the dependent variable in an experiment?

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The dependent variable is the variable that is measured or tested in an experiment, which is affected by the independent variable.

Tags

CCSS.6.EE.C.9

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How do you find the output of a function?

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To find the output of a function, substitute the input value into the function's equation.

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CCSS.HSF.IF.A.2

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What does it mean if two variables are independent?

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Two variables are independent if the change in one variable does not affect the other variable.

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CCSS.HSF-LE.A.1B

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What does it mean if two variables are dependent?

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Two variables are dependent if the change in one variable affects the other variable.

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What is an example of a function?

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An example of a function is f(x) = 2x + 3, where for each value of x, there is a corresponding value of f(x).

Tags

CCSS.8.F.A.1

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What is the output of the function f(x) = 3x - 1 when x = 5?

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The output is f(5) = 3(5) - 1 = 15 - 1 = 14.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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What is the effect of increasing the temperature on the lifespan of a battery?

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Increasing the temperature generally decreases the lifespan of a battery.

Front

In the context of an experiment, what is a control variable?

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A control variable is a variable that is kept constant to ensure that the results are due to the independent variable.