Key Features Review

Front

What is an increasing interval in a function?

Back

An increasing interval is a range of x-values where the function's output (y-values) is rising as x increases.

Front

How do you identify the maximum value of a function from a graph?

Back

The maximum value is the highest point on the graph, where the function reaches its peak.

Front

What is a minimum value in the context of a function?

Back

The minimum value is the lowest point on the graph of the function, where the function reaches its lowest output.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the y-values of the function decrease.

Front

How can you determine the maximum or minimum value of a quadratic function?

Back

You can determine the maximum or minimum value by finding the vertex of the parabola represented by the function.

Front

What is the vertex of a parabola?

Back

The vertex is the point where the parabola changes direction; it represents the maximum or minimum value of the function.

Front

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

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of the function when x=0.

Front

How do you find the interval where a function is increasing?

Back

To find the increasing interval, look for sections of the graph where the slope is positive.

Front

What is the difference between a maximum and a minimum value?

Back

A maximum value is the highest point on the graph, while a minimum value is the lowest point.

Front

What does the notation (a, b) represent in interval notation?

Back

The notation (a, b) represents an open interval, meaning it includes all numbers between a and b, but not a and b themselves.