Tuesday

July 22, 2014

July 22, 2014

Posted by **Nadia** on Tuesday, November 20, 2007 at 10:51pm.

f(x)=2(x+2)^2(x+4)^2

- Algebra 2 -
**Reiny**, Tuesday, November 20, 2007 at 11:05pmvisualize the function as

f(x) = 2(x+2)(x+2)(x+4)(x+4)

which would make it a fourth degree function.

Fourth degree functions tend to look like a "W" in their general form, anyway they "rise" into the first and second quadrants.

notice there are double roots at x=-2 and x=-4, so the curve 'touches' the x-axis at -2 and -4 without crossing

What does it do between -2 and -4?

Try x=-3, f(-3) = 2

try f(0), you get f(0) = 128

Can you see the "W" ?

**Related Questions**

College Algebra - 1.Answer the following for the given quadratic function. f(x...

algebra - 3. write the function whose graph is the graph of y=sqrt of x, but is ...

Algebra - Graph the rational function x/(x-6) To graph the function, draw the ...

Algebra HELP! - I cannot find an example and am confused about what to do with ...

Algebra 2 - Describe the end behavior of the graph of the polynomial function. ...

Algebra 2 - Describe the end behavior of the graph of the polynomial function. ...

Algebra HELP! - I cannot find an example and am confused about what to do with ...

algebra - Graph the function. Plot two points and the asymptotes of the graph of...

algebra - list the domain and the x- and y- intercepts of the following function...

Algebra - Could you please check my work. Determine whether the realtion is a ...