Key Features of Functions

Front

What are the x- and y-intercepts of a function?

Back

The x-intercepts are the points where the graph crosses the x-axis (y=0), and the y-intercept is the point where the graph crosses the y-axis (x=0).

Front

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

Back

Set the function equal to zero and solve for x.

Front

What does the ordered pair (2, -4) represent on a graph?

Back

It represents a point on the graph where x=2 and y=-4.

Front

What is a vertex in the context of a function's graph?

Back

The vertex is the highest or lowest point on the graph of a quadratic function.

Front

What are the zeros of a function?

Back

The zeros are the values of x for which the function equals zero.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How do you determine the y-intercept of a function?

Back

Substitute x=0 into the function and solve for y.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept indicates the value of the function when x is zero.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, y also increases.