Monday

November 24, 2014

November 24, 2014

Posted by **Hannah** on Saturday, February 26, 2011 at 3:46pm.

1)increasing slope for x<4

2) f'(x)>0 for all x(x cannot =4)

3)asymptote at x=4.

Again I know we cannot graph but how can I figure this out?

- Math -
**MathMate**, Saturday, February 26, 2011 at 4:30pmAsymptote at x=4 indicates a factor of (x-4) in the denominator.

Let's try f(x)=1/(x-4)

f'(x)=-1/(x-4)²

so f'(x)<0 for all x except 4.

Let's try f(x)=-1/(x-4)

f'(x)=1/(x-4)² >0 for all x.

Check f"(x)=2/(x-4)³

f"(x)>0 ∀x<4.

So all conditions are satisfied.

**Answer this Question**

**Related Questions**

Precalculus - Write an equation for rational function with given properties. a...

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

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

Math - which of the following graphs could represent a function with the ...

Rational Functions - Write an equation for a rational function whose graph has ...

math help please - Consider the function g(x)=x/x-7. a) Determine an equation ...

math - Use the given function to answer the following questions. g(x) = (5 x^2...

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

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

pre calculus - Use the following conditions to create a sketch of the function ...