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Chapter 14: Q. 86 (page 890)

For Problems 83 鈥� 88, use a graphing utility to graph the functions R given in Problems 77鈥� 82. Verify the solutions found above.

R(x)=x3-x2+3x-3x2+3x-4

Short Answer

Expert verified

Using the graphing utility the asymptotes and holes of the function R(x)=x3-x2+3x-3x2+3x-4are verified.

Step by step solution

01

Step 1. Given Information

We are given a rational function R(x)=x3-x2+3x-3x2+3x-4.

We need to use a graphing utility and verify the asymptotes and holes of the function.

02

Step 2. Graph the function and verify the result 

The graph of the function R(x)=x3-x2+3x-3x2+3x-4is given as

It can be seen that the graph is discontinuous at two points. At x=-4there is a vertical asymptote and at x=1there is a hole at 1,45.

So the results are verified.

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Most popular questions from this chapter

True or False If f is continuous at c, thenlimx鈫�c+f(x)=f(c).

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