Characteristics of Functions

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, passing through the vertex.

Front

What is an x-intercept?

Back

The x-intercept is the point where the graph of a function crosses the x-axis (y=0).

Front

What is a y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis (x=0).

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if the output values (y-values) rise as the input values (x-values) increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if the output values (y-values) fall as the input values (x-values) increase.

Front

What is the minimum value of a quadratic function?

Back

The minimum value is the lowest point on the graph of the quadratic function, occurring at the vertex if the parabola opens upwards.

Front

What is the maximum value of a quadratic function?

Back

The maximum value is the highest point on the graph of the quadratic function, occurring at the vertex if the parabola opens downwards.

Front

How do you find the range of a quadratic function?

Back

To find the range, determine the vertex and the direction the parabola opens (up or down) to identify the minimum or maximum y-value.