Analyzing Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean for a graph to be constant?

Back

A graph is constant when the output value does not change as the input value changes, resulting in a horizontal line.

Front

How can you identify an increasing function on a graph?

Back

An increasing function is identified by a graph that rises from left to right, meaning as the input increases, the output also increases.

Front

What does steepness of a graph indicate?

Back

The steepness of a graph indicates the rate of change of the function; a steeper graph means a greater rate of change.

Front

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

Back

The y-intercept is the point where the graph crosses the y-axis, representing the output value when the input is zero.

Front

How do you determine the interval of a function?

Back

An interval of a function is determined by the range of input values over which the function exhibits a particular behavior, such as increasing or constant.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing when it falls from left to right, indicating that as the input increases, the output decreases.

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different intervals of the input.

Front

How can you tell if an object is standing still on a graph?

Back

An object is standing still on a graph when the line is horizontal, indicating that the output value does not change over time.

Front

What is the domain of a function?

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.