0The 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.
Figure 3.3.53.3.5: Graph of f(x)=x8f(x)=x8.
