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Chapter 4: Q. 4 (page 244)

In Problems 4, 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)=3

Short Answer

Expert verified

The given function is a polynomial function.

The degree of the given function is0.

Step by step solution

01

Given information

The given function is fx=3.

02

Determine the type of the function 

The function fxcan be rewritten f(x)=3x0as, where the power of x is a non-negative integer. It has a degree of zero because the highest power of x is zero.

03

Sep 3: Write the conclusion

fx is a polynomial function.

It has a degree of zero.

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Most popular questions from this chapter

Find the domain of the rational function.

Rx=xx3-8

Find the real zeros of f. Use the real zeros to factor f.

f(x)=2x3-13x2+24x-9

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

x4+4x3+2x2-x+6=0

Graph each rational function using transformations.

R(x)=1+2(x-3)2

Find the domain of the rational function.

Qx=-x1-x3x2+5x-2
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