Analyzing Graphs Practice

Front

What is a relative maximum in a graph?

Back

A relative maximum is a point on a graph where the function value is higher than the values of the function at nearby points.

Front

Identify the increasing interval of a function.

Back

The increasing interval is the range of x-values where the function's output values are rising as x increases.

Front

What does end behavior of a function refer to?

Back

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

Front

Define a decreasing interval in a function.

Back

A decreasing interval is the range of x-values where the function's output values are falling as x increases.

Front

What is a negative interval in the context of a function?

Back

A negative interval refers to the range of x-values for which the function outputs negative values.

Front

How do you determine a relative maximum from a graph?

Back

Look for the highest point in a given interval where the function changes from increasing to decreasing.

Front

What is the significance of identifying increasing and decreasing intervals?

Back

Identifying these intervals helps understand the behavior of the function and can indicate local maxima and minima.

Front

Explain how to find the end behavior of a polynomial function.

Back

Analyze the leading term of the polynomial; if the degree is even, both ends behave the same; if odd, they behave oppositely.

Front

What is the difference between absolute and relative maximum?

Back

An absolute maximum is the highest point over the entire domain, while a relative maximum is the highest point in a specific interval.

Front

How can you visually identify a decreasing interval on a graph?

Back

Look for sections of the graph where the curve slopes downward as you move from left to right.