What does end behavior tell you about the graph?

The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph

What is the End Behavior of a Function?

When a function f (x) increases or decreases without bound, the behaviour at its finish is referred to as the function's behaviour.  increases or decreases without bound. In other words, the end behavior describes the ultimate trend in the graph of f(x) as we move towards the far right or far left of the x-axis.

End behavior is represented in mathematical notation by symbols that indicate the impact on the function when the variable goes toward plus or negative infinity. For instance, the claim

The expression f(x)+ as x+ indicates that the function will grow unboundedly huge as the variable rises and can be read as "f(x) approaches positive infinity as x approaches positive infinity."

Because it can be considered as defining the long-term behavior of a quantity of interest, the concept of the end behavior of a function has practical applications. For instance, epidemiologists might be interested in predicting future trends in the prevalence of a disease. Whether or not case numbers are expected to plateau or keep rising is a sign of whether or not the epidemic is currently under control.

so ,The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis.

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The behavior of the function graph at the "ends" of the x-axis is known as the end behavior of a function, or f. In other words, the graph's trend is described by the function's final behavior.

The formula f(x)+ as x+, which may be translated as "f(x) approaches positive infinity as x approaches positive infinity," denotes that the function will become unboundedly massive as the variable increases.

so ,

The behavior of the function graph at the "ends" of the x-axis is known as the end behavior of a function, or f.

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