Review functions and features

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, represented as (0, y).

Front

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

Back

To find the x-intercepts, set the function equal to zero and solve for x. The x-intercepts are the points where the graph crosses the x-axis.

Front

What does the minimum of a graph represent?

Back

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

Front

Describe the behavior of a graph that is increasing.

Back

A graph is increasing when the y-values rise as the x-values increase.

Front

What does it mean for a graph to be constant?

Back

A constant graph has a horizontal line where the y-value remains the same as the x-value changes.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing when the y-values fall as the x-values increase.

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is not a function?

Back

A relation is not a function if at least one input (x-value) has more than one output (y-value).

Front

How can you determine if a table represents a function?

Back

Check if any x-value is repeated; if it is, the table does not represent a function.

Front

What is the significance of the coordinates in (x, y)?

Back

The coordinates (x, y) represent a point on the graph, where x is the horizontal position and y is the vertical position.