Wednesday

October 22, 2014

October 22, 2014

Posted by **Casey** on Tuesday, January 10, 2012 at 9:45pm.

a) a hole at x = 1

b) a vertical asymptote anywhere and a horizontal asymptote along the x-axis

c) a hole at x = -2 and a vertical asymptote at x = 1

d) a vertical asymptote at x = -1 and a horizontal asymptote at y =2

e) an oblique asymptote, but no vertical asymptote

- Precalculus -
**Steve**, Wednesday, January 11, 2012 at 12:30ama) must have (x-1) in numerator and denominator

y = (x-2)(x-1)/(x-1) = (x^2 - 3x + 1)/(x-1)

b) must have (x-k) in the denominator, and not in the numerator. degree of numerator must be less than the degree of the denominator.

y = 12(x+3)/(x-5)(x+9)

c) must have (x+2) top and bottom, and have (x-1) in the bottom

y = 3(x+5)(x+2)/(x-1)(x+2) = (3x^2 + 21x + 18)/(x^2 + x - 2)

d) must have (x+1) in the bottom and have degree of top and bottom equal, with a factor of two up top.

y = (2x-5)/(x+1)

e) top degree must be bottom degree + 1

y = 3x^3/(x^2+3)

note the bottom is never 0.

- Precalculus - PS -
**Steve**, Wednesday, January 11, 2012 at 12:34ama) should read (x^2 - 3x + 2)/(x-1)

c) should read (3x^2 + 21x + 30)/(x^2 + x - 2)

**Answer this Question**

**Related Questions**

advance functions gr12 - write an equation for a rational function whose graph ...

Pre-Calculus - Rational Functions does the following function have a hole or a ...

college algebra - Given the following rational function, find a. the horizontal ...

Algebra - Help! - Given the function: f(x)=(x^2+6x+5)/(x^2+3x−10) Find the...

College Algebra - Given the following rational functions,find:a.)the horizontal ...

PreCalculus - State the Vertical Asymptote, Horizontal Asymptote, domain, range...

math(precalculus) - Write the equation of a Rational Function satisfying given ...

Given the following rational function - Given the following rational function, ...

Math - Analyze the function algebraically. List its vertical asymptotes, holes, ...

College Algrbra - Given the following rational function, f(x)=x^2-x-2/ax^2-x-21 ...