EVALUATING FUNCTIONS

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Tags

CCSS.8.F.A.1

Front

What does it mean to evaluate a function?

Back

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

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CCSS.HSF.IF.A.2

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What is the notation for a function?

Back

Functions are typically denoted by letters such as f, g, or h, followed by parentheses containing the input value, e.g., f(x).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the input value into the function's equation and simplify.

Tags

CCSS.HSF.IF.A.2

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form f(x) = ax² + bx + c, where a, b, and c are constants.

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What is the difference between independent and dependent variables in a function?

Back

The independent variable is the input of the function (usually x), while the dependent variable is the output (usually y) that depends on the input.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is a piecewise function?

Back

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

Tags

CCSS.HSF-IF.C.7B