Key Features of Grapsh - intercepts, intervals, end behavior

Front

What are the x-intercepts of a graph?

Back

The x-intercepts are the points where the graph crosses the x-axis, meaning the y-value is zero.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible x-values that can be input into the function.

Front

How do you determine the domain of a graph?

Back

To determine the domain, identify the x-values for which the function is defined.

Front

What is the range of a function?

Back

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

Front

How do you determine the range of a graph?

Back

To determine the range, identify the y-values that the graph can take.

Front

What is end behavior in graphing?

Back

End behavior describes how the values of a function behave as x approaches positive or negative infinity.

Front

What does it mean if a graph approaches y → ∞ as x → ∞?

Back

It means that as x increases without bound, the y-values of the function also increase without bound.

Front

What does it mean if a graph approaches y → -∞ as x → -∞?

Back

It means that as x decreases without bound, the y-values of the function decrease without bound.

Front

What is an interval in the context of graphs?

Back

An interval is a range of x-values or y-values that a function can take.

Front

What is the significance of the y-intercept?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of the function when x=0.