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Chapter 4: Q.20 (page 247)

Determine algebraically whether the function

f(x)=5xx2-9is even, odd, or neither.

Short Answer

Expert verified

The given function is odd

Step by step solution

01

Given information

We are given an equationf(x)=5xx2-9

02

Substitute -x in the above equation

We get

f(x)=5xx2-9f(-x)=-5xx2-9f(-x)=-f(x)

Hence the given function is a odd function

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Most popular questions from this chapter

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

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

Find the domain of the rational function.

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

True or False. If the degree of the numerator of a rational function equals the degree of the denominator, then the ratio of the leading coefficients give rise to the horizontal asymptote.

A can in the shape of a right circular cylinder is required to have a volume of 500cubic centimeters. The top and bottom are made of material that costs 0.06鈧�per square centimeter, while the sides are made of material that costs 0.04鈧�per square centimeter.

Part (a) Express the total cost C of the material as a function of the radius r of the cylinder.

Part (b): Graph C=Cr. For what value of r is the cost C a minimum?

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

2x3-3x2-3x-5=0
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