Characteristics of Functions

Front

What are the x-intercepts?

Back

The x-intercepts are the points where the graph of a function crosses the x-axis. For example, (0, 0) and (4, 0) are x-intercepts.

Front

Determine the interval in which this function is INCREASING: (-4, ∞), (-3, ∞), (∞, -3), (-∞, -4)

Back

The function is increasing in the interval (-3, ∞).

Front

Determine the interval in which this function is DECREASING: (-3, ∞), (-3, ∞), (-∞, -4), (-∞, -3)

Back

The function is decreasing in the interval (-∞, -3).

Front

Is this a function? Yes, it is a function. No, it is not a function.

Back

No, it is not a function. A function must have only one output for each input.

Front

Identify the increasing interval: (0, 4), (1, 0) to (1, 4), (-1, 1), (-∞, -1) to (1, ∞)

Back

The increasing interval is (1, 0) to (1, 4).

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What are the characteristics of a linear function?

Back

Linear functions have a constant rate of change and can be represented by a straight line on a graph.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.

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.