Key Features of Functions

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 are the zeros of a function?

Back

The zeros of a function are the values of x for which the function's output (f(x)) is equal to zero.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing on an interval if, as x increases, the value of f(x) decreases.

Front

What is a minimum point on a graph?

Back

A minimum point is the lowest point on the graph of a function, where the function changes from decreasing to increasing.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the value of f(x) also increases.

Front

What is an interval in mathematics?

Back

An interval is a range of numbers between two endpoints, which can be open or closed.

Front

What is the difference between open and closed intervals?

Back

An open interval does not include its endpoints, while a closed interval includes its endpoints.

Front

How do you find the zeros of a function graphically?

Back

You find the zeros of a function graphically by identifying the points where the graph intersects the x-axis.

Front

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

Back

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

Front

What is a function's range?

Back

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