Identifying Linear Functions Practice

Front

What is a function?

Back

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

Front

What is the definition of 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, where m is the slope and b is the y-intercept.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not graph to a straight line and may include curves, parabolas, or other shapes.

Front

How can you determine if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

What is the slope in a linear function?

Back

The slope (m) in a linear function represents the rate of change of the function, indicating how steep the line is.

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept (b) is the point where the line crosses the y-axis, representing the output value when the input is zero.

Front

What is the difference between a linear and a non-linear graph?

Back

A linear graph is a straight line, while a non-linear graph can be curved or have varying slopes.

Front

Can a vertical line be a function?

Back

No, a vertical line is not a function because it has multiple outputs for the same input.

Front

What is an example of a linear function?

Back

An example of a linear function is f(x) = 2x + 3.

Front

What is an example of a non-linear function?

Back

An example of a non-linear function is f(x) = x^2.