Homework Help: calculus

Posted by Jimmy-can someone please help on Tuesday, December 18, 2012 at 9:40pm.

given the following function find,

a. zeros and the multiplicity of each
b. number of turning points
c. end behavior

f(x)=(x-1)(x-5)
a. x=1 and x=5--is this correct?

b. number of turning points
I had f(x)-0 BUT my teacher said this--
Note that the equation has a degree of 2. f(x)=x^2-6x+5. How many turning points must an equation have that is of degree two? Is it two points--(1,0)and (5,0)

c. end behavior
I had for a large |x|(positiveor negative) f(x) increases as parabola upward to infinity BUT my teacher said not to change to an absolute value. Can someone help me with this one.
**please show work**

calculus - Reiny, Tuesday, December 18, 2012 at 9:51pm
Your function is a simple parabola
All parabolas have one turning point, called the vertex

because of the + understood in front of
f(x) = +x^2 ....
the parabola opens upwards so it rises to infinity in both the 1st and 2nd quadrants.
If the function had been
f(x) = -x^2 .... , then it would have opened downwards. Your teacher was right to object to the |x| , that would always make the sign in front a +

Your zeros of x=1 and x=5 are correct, their multiplicity is 1

Answer this Question

Related Questions

calculus-can someone please help me with this ques - Given the following ...
calculus-can someone please help me with this ques - Given the following ...
calculus-can someone please help me with this ques - Given the following ...
calculus - Using a graphing utility, graph and approximate the zeros and their ...
calculus - Iamhaving a really hard time trying to understand this question. Can ...
Algebra - Find all of the zeros of the polynomial function and state the ...
Algebra - Please help. Having a hard time with this. Find all of the zeros of ...
Algebra - Find all of the zeros of the polynomial function and state the ...
caculus - Following a polynomial, find a. the zero's and the multiplicity of...
caculus - Following a polynomial, find a. the zero's and the multiplicity of...

For Further Reading

First Name:
School Subject:
Answer: