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IDENTIFYING THE END BEHAVIOR OF A POWER FUNCTION

Debraj Paul
19/02/2019 0 0

The coefficient is 1 (positive) and the exponent of the power function is 8 (an even number). As xx approaches infinity, the output (value of f(x)f(x) ) increases without bound. We write as x→∞, f(x)f(x)→∞. As xx approaches negative infinity, the output increases without bound. In symbolic form, asx→−∞, f(x)f(x)→∞. We can graphically represent the function as shown in Figure 3.3.53.3.5.

Graph of f(x)=x^8

Figure 3.3.53.3.5Graph of f(x)=x8f(x)=x8.

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