Posted by **alli** on Saturday, August 18, 2012 at 9:35pm.

find the following for the function

f(x)= (x+5)^2(x-1)^2

a) find the x and y intercepts for the polynomial function f

b) determine whether the graph of f crosses or touches the x axis at each x intercept

C) put all information together to obtain the graph of f

- algebra -
**Steve**, Sunday, August 19, 2012 at 2:57pm
The x-intercepts are the roots.

The y-intercept is at 5^2*1^2 = 25

Since the roots are of even order, the graph touches the axis at each root.

So, degree-4 polynomial with positive coefficient. Down from the left, tangent at each root, then back up to the right.

## Answer This Question

## Related Questions

- College Algebra - 1.The graph of y = - 1/2 |x - 5| - 3 can be obtained from the ...
- Algebra - Find the following function f(x)=(x+3)^2(x-1)^2 (a)Find the x and y ...
- algebra - could you help me with the following,I don't understand. Find the x-...
- polynomial functioms-check - Can you please check my work and answers. Find the ...
- graphing exponential function - P(x) = -(x-a)^4 (x-b)^3 (x-c) where a>0, b<...
- Pre-Calculus - For the function f(x)=12x^3+4x^2-27x-9 describe the end behavior...
- pre - CALCULUS - Complete the following: (a) Use the Leading Coefficient Test to...
- ap algebra - can you check my answers please? Find the zeros for the polynomial ...
- Algebra-check my answers - can you check my answers please? Find the zeros for ...
- ap algebra - Can you please help me with these problems I don't understand them...

More Related Questions