Features 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 domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What does it mean for a function to be decreasing?

Back

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

Front

What is an x-intercept?

Back

An x-intercept is a point where the graph of a function crosses the x-axis, meaning the output value (y) is zero.

Front

What is a vertex in the context of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, depending on its orientation.

Front

What is the axis of symmetry in a parabola?

Back

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

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts, set the function equal to zero and solve for x.

Front

What is the significance of the point of intersection of two graphs?

Back

The point of intersection represents the values of x and y where both functions have the same output.

Front

What is an interval notation?

Back

Interval notation is a way of writing subsets of the real number line, using parentheses and brackets to indicate whether endpoints are included.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as the x-values increase, the y-values also increase.