ezplot: A same function with different plots!

Hello all,

I am plotting a function in terms of a parameter (which is 'k' here).

When I give [-5,5] as the domain of k, the output is as follows:

As you see, there are solutions for k=[-3,-5]. But when I change the domain from [-50,50], then there is no solution for negative values of k's (the left-hand side of the diagram is empty):

As you see even for k=[-3,-5], nothing is plotted.

My code is as follows:

syms w

syms k

a=1

b=1

c=1

d=1

e=2

f=4

g=1

h=1

m=10

n=12

t=30

p=1

y=(-(w*(c*f+d*e))/(4*p*w-t*w+n*w+g*f))^(k+1)+(-(w*(a*f+h*e))/(4*p*w-t*w+m*w+g*f))^(k+1)-((b*w*e)/(2*p*w-t*w+m*w+n*w+g*f))^(k+1)+w^(k+1)

ezplot(y,[-5,5]) --------- Or ------->   ezplot(y,[-50,50])

Would you please tell me the reason? How can I solve it?

Answer 1

[the cyclist]

I think it will be helpful for you to read my answer -- and more importantly John D'Errico's comments -- on this similar question about ezplot.

The gist is that ezplot is finding contours, and can't always do it optimally over disparate ranges.

[Vahid Eghbal]

Thank you so much. So, do you know any other function instead of 'ezplot' that can provide a more precise and continuous diagram of this function?