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 based on its domain.

Front

What does it mean for a function to be increasing?

Back

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

Front

What is the maximum value of a function?

Back

The maximum value of a function is the highest point on the graph of the function, representing the largest output value.

Front

What is the minimum value of a function?

Back

The minimum value of a function is the lowest point on the graph of the function, representing the smallest output value.

Front

What are x-intercepts?

Back

X-intercepts are the points where the graph of a function crosses the x-axis, meaning the output value (y) is zero.

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

What is a vertex of a parabola?

Back

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

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

How do you determine the increasing intervals of a function?

Back

To determine the increasing intervals, find where the derivative of the function is positive.

Front

What is a quadratic function?

Back