How To Graph Infinity

Recognize a horizontal asymptote on the graph of a function.

From its graph we see that as the values of (x) approach (2), the values of (h(x)=1/(x−2)^2) become larger and larger and, in fact, become infinite.

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Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

Calculate the limit of a function as [latex]x [/latex] increases or decreases without bound.

Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

Recognize a horizontal asymptote on the graph of a function.

At the end of this section, we outline a strategy for graphing an arbitrary function (f).

Understanding the Limit as x Approaches Infinity | Outlier

In this section, we define limits at infinity and show how these limits affect the graph of a function.

Explore math with our beautiful, free online graphing calculator.

The infinity symbol can be entered directly by typing infinity into an expression, unlike many others that require copying the latex backslash command.

In this section, we define limits at infinity and show how these limits affect the graph of a function.

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At the end of this section, we outline a strategy for graphing an arbitrary.

Recall from an algebra class that a vertical asymptote is a vertical line (the dashed line at x = −2 x = − 2 in the previous example) in which the graph will go towards infinity.

We could represent this concept with.

Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.