Graphing Functions

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What are the x values in a function called?

Back

Domain

Front

What are the y values in a function called?

Back

Range

Front

What is the relationship between domain and range in a function?

Back

The domain consists of all possible input values, while the range consists of all possible output values.

Front

How do you find the output value of a function?

Back

Substitute the input value into the function's equation.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form y = ax^2 + bx + c, where a, b, and c are constants.