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Chapter 4: Q. 2 (page 244)

In Problems 2, determine whether the function is a polynomial function, rational function, or neither. For those that are polynomial functions, state the degree. For those that are not polynomial functions, tell why not.

f(x)=3x52x+1

Short Answer

Expert verified

The given function is not a polynomial function.

The given function is a rational function.

Step by step solution

01

Given information

The given function isf(x)=3x52x+1.

02

Determine the type of the function 

The function fx is a rational function because it is a fraction of two polynomial functions. The polynomial in the denominator must not be equal to zero.

03

Write the conclusion

The function fx is not a polynomial function. It is a rational function.

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Most popular questions from this chapter

True or False The graph of a rational function may intersect a vertical asymptote.

Find the domain of the rational function.

F(x)=3xx-12x2-5x-3

In Problems 63鈥�72, find the real solutions of each equation.

2x3+3x2+2x+3=0

Solve the inequality algebraically.

x4<9x2

The concentration C of a certain drug in a patient's bloodstream t hours after injection is given by

Ct=50tt2+25

Part (a): Find the horizontal asymptote of Ct. What happens to the concentration of the drug as t increases?

Part (b): Using your graphing utility, graph C=Ct.

Part (c): Determine the time at which the concentration is highest.
See all solutions

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