Compare Functions

Front

What is a function?

Back

A function is a relation where every input has only ONE output.

Front

How can you determine if a function is increasing?

Back

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

Front

How can you determine if a function is decreasing?

Back

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

Front

What does the term 'initial value' refer to in a function?

Back

The initial value is the starting point of a function, often represented as the output when the input is zero.

Front

What does a steep line on a graph indicate about the rate of change?

Back

A steep line indicates a faster rate of change.

Front

If a function has a positive slope, what can you say about its behavior?

Back

If a function has a positive slope, it is increasing.

Front

If a function has a negative slope, what can you say about its behavior?

Back

If a function has a negative slope, it is decreasing.

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 graphs as a straight line, while a non-linear function does not have a constant rate of change and can graph as a curve.

Front

What is the significance of the x-intercept in a function?

Back

The x-intercept is the point where the function crosses the x-axis, indicating where the output is zero.

Front

What is the significance of the y-intercept in a function?

Back

The y-intercept is the point where the function crosses the y-axis, indicating the output when the input is zero.