







Sketch the graphs of the following 
20100302 

musaf pose la question : without detailed plotting of points,sketch the graphs of the following
showing relevant information on the graphs:
a) y=(x3)2 +5
b)y=4xx2 Penny Nom lui répond. 





f(x)= (e^x) / [(e^x)+(ex^2)] 
20091110 

natalie pose la question : I'm trying to graph the function, f(x)= (e^x) / (e^x)+(ex^2) [e to the x divided by e to the x plus e times x squared] I know that there aren't any vertical asymptotes, but is there a horizontal asymptote? and also, I'm stuck on finding the concavity for this graph. I tried to find f "(x), but it came out to be really long and I am not sure how to find the x values for f "(x) without using a graphic calculator.
thanks,
natalie Chris Fisher and Harley Weston lui répond. 





A curve sketch 
20071122 

Ahson pose la question : Find critical points, determine the monotonicity and concavity and sketch
a graph of f(x) with any local maximum, local minimum and inflection
points labeled:
1. f(x) = x^4  x^3  3x^2 + 1 Harley Weston lui répond. 





Finding the area of a lot without knowing the angles 
20070605 

Cristin pose la question : I have a landlocked piece of land. I need to know the square
footage in order to determine the acreage. My deed only gives the lengths of its five sides. Stephen La Rocque lui répond. 





The sketch of a graph 
20031007 

A student pose la question : I was wondering how do you figure out if a graph has a horizontal tangent line. One of my homework problem was to sketch the graph of the following function; (4/3)x^{3}2x^{2}+x. I set f''(x) ( the second derivative) of the function equal to zero and got the inflection point:(1/2,1/6). Also i am having trouble finding the concavity for x>1/2 and x<1/2, i am getting a different answer from the back of the book, the graph i draw looks completely different from the correct answer. Penny Nom lui répond. 





A polynomial 
20020414 

A student pose la question : A polynomial function is described by the following conditions: f(x) has two real zeros at x= 2 and x= 1, each of multiplicity 2 f(x) has two complex zeros as x goes to infinity, f(x) goes to +infinity as x goes to +infinity, f(x) goes to +infinity f(x) has a yintercept at (0,2) Sketch a polynomial function that satisfies the above conditions. Write an equation for function f(x) Write another function g(x) that also satisfies the above parameters. Penny Nom lui répond. 





Geometry 
19990729 

Jessica pose la question : How do you even do Geometry. Like what do you need to learn first and like a step by step plan.I realy need help I need it before school starts PLEASE!!!!!!!!! Walter Whiteley lui répond. 

