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.

Tags

CCSS.HSF-IF.C.7A

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.

Tags

CCSS.8.EE.C.8B

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.

Tags

CCSS.6.EE.B.8

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.