Function Notation

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What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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How do you evaluate a function at a specific input?

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To evaluate a function at a specific input, substitute the input value into the function's equation and simplify to find the output.

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CCSS.HSF.IF.A.2

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What does it mean for a function to be linear?

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

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

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The slope-intercept form of a linear function is f(x) = mx + b, where m represents the slope and b represents the y-intercept.

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CCSS.8.EE.B.6

CCSS.8.F.A.3

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How do you find the x-value when given a function value?

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To find the x-value when given a function value, set the function equal to that value and solve for x.

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CCSS.HSF.IF.A.2

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What is the significance of the y-intercept in a linear function?

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The y-intercept is the point where the graph of the function crosses the y-axis, representing the output value when the input is zero.

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CCSS.HSF-IF.C.7A

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What does the term 'domain' refer to in a function?

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The domain of a function refers to the set of all possible input values (x-values) for which the function is defined.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does the term 'range' refer to in a function?

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The range of a function refers to the set of all possible output values (f(x) values) that the function can produce.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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How can you determine if a function is increasing or decreasing?

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A function is increasing if its output values rise as the input values increase, and it is decreasing if its output values fall as the input values increase.

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What is the process for solving a linear equation?

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To solve a linear equation, isolate the variable on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.

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CCSS.7.EE.B.4A