×
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.3 - Problem 3e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.3 - Problem 3e

×

# Can the graph of a polynomial have vertical or horizontal ISBN: 9780321570567 2

## Solution for problem 3E Chapter 4.3

Calculus: Early Transcendentals | 1st Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Calculus: Early Transcendentals | 1st Edition

4 5 1 375 Reviews
10
4
Problem 3E

Can the graph of a polynomial have vertical or horizontal asymptotes? Explain.

Step-by-Step Solution:
Step 1 of 3

Solution: Step1 A polynomial has only nonnegative integer exponents, and have a domain of all real numbers... therefore, there are no vertical asymptotes and no horizontal asymptotes. Step2 F(x)= x^3-9x^2+15x+30 The definition of a vertical asymptote is that it's a discontinuity where F(x) grows without limit as x moves toward a finite value (e.g. when x=2). With a straight polynomial such as F(x)= x^3-9x^2+15x+30 there's no such value; whatever the ups and downs, it's a continuous function over the whole range of x.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

Unlock Textbook Solution