IM Algebra Unit #4 Functions Review (4.1-4.6)

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.

Front

What is function notation?

Back

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

Front

How do you evaluate a function at a specific point?

Back

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

Front

What is the dependent variable in a function?

Back

The dependent variable is the output of the function, typically represented on the y-axis in a graph.

Front

What is the independent variable in a function?

Back

The independent variable is the input of the function, typically represented on the x-axis in a graph.

Front

How do you translate a coordinate pair into function notation?

Back

A coordinate pair (x, y) can be translated into function notation as f(x) = y.

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the dependent variable with respect to the independent variable.

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 variable.

Front

How do you find 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

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.