Interpreting & Describing Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

How do you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for the input x.

Front

How do you evaluate a function at a specific point?

Back

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

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 the difference between a linear function and a non-linear function?

Back

A linear function has a constant rate of change and can be represented by a straight line, while a non-linear function does not have a constant rate of change and can be represented by a curve.

Front

What is the slope of a linear function?

Back

The slope of a linear function is the ratio of the change in the output value to the change in the input value, often represented as 'm' in the equation y = mx + b.

Front

What is a graph of a function?

Back

A graph of a function is a visual representation of the relationship between the input values and the output values.

Front

What does it mean for a function to be constant?

Back

A function is constant if its output value does not change regardless of the input value.