Describe Non-Linear Functions

Front

What is a non-linear function?

Back

A non-linear function is a function that does not create a straight line when graphed. Its rate of change varies, and it can have curves, bends, or breaks.

Front

What does it mean for a function to be increasing?

Back

A function is increasing when the output values rise as the input values increase. This is represented by an upward slope on a graph.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing when the output values fall as the input values increase. This is represented by a downward slope on a graph.

Front

What is a constant function?

Back

A constant function is a function that does not change its value; it remains the same regardless of the input. Its graph is a horizontal line.

Front

What is the significance of intervals in a graph?

Back

Intervals in a graph indicate specific ranges of input values over which the function behaves in a certain way, such as increasing, decreasing, or remaining constant.

Front

How can you identify increasing intervals on a graph?

Back

Increasing intervals can be identified where the graph rises from left to right. Look for sections where the slope is positive.

Front

How can you identify decreasing intervals on a graph?

Back

Decreasing intervals can be identified where the graph falls from left to right. Look for sections where the slope is negative.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

What is a quadratic function?

Back

A quadratic function is a type of non-linear function that can be expressed in the form f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What is the difference between linear and non-linear functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while non-linear functions have varying rates of change and can graph as curves.