Confusion on function handles

Greetings,

I know this is a tricky subject for me to understand, but I want to see if I'm going about this right.

I have the following three functions:

    f(x)= x^8 + 8*x^7 + 28*x^6 + 56*x^5 +70*x^4 - 56*x^3 + 28*x^2 - 8*x +1
  g(x)=(((((((x-8)*x + 28) - 56)*x + 70) - 56)*x + 28)*x - 8)*x + 1
  h(x)=(x-1)^8

that need to be evaluated at 101 equally spaced points in the interval [0.99,1.01] and plot the results on the magnified scale.

   Now, can I use function handles with this, i.e. (as a start), 

f =@(x) x^8 + 8*x^7 + 28*x^6 + 56*x^5 +70*x^4 - 56*x^3 + 28*x^2 - 8*x +1
g =@(x) (((((((x-8)*x + 28) - 56)*x + 70) - 56)*x + 28)*x - 8)*x + 1
h =@(x) (x-1)^8
n = 100;
a = 0.99;
b = 1.01;
t = a:(b-a)/n:b;

Or am I way off?

Thanks!

[Azzi Abdelmalek]

Jesse, if you want to add a comment click on [comment on this answer]

Answer 1

[Shashank Prasanna]

You need to precede your operations with a dot "." as described here:

http://www.mathworks.com/help/matlab/matlab_prog/array-vs-matrix-operations.html#btyv9yp-3 http://www.mathworks.com/help/matlab/ref/times.html

Then create your anonymous function handles.

Create linearly spaced points using LINSPACE:

http://www.mathworks.com/help/matlab/ref/linspace.html

x = linspace(0.99,1.01,100);

Call the function with x as input

[Azzi Abdelmalek]

Jesse commented

Shashank,

Thanks for the response. Forgot about the dots! So, like this?

f =@(x) x.^8 + 8*x.^7 + 28*x.^6 + 56*x.^5 +70*x.^4 - 56*x.^3 + 28*x.^2 - 8*x +1 g =@(x) (((((((x-8)*x + 28) - 56)*x + 70) - 56)*x + 28)*x - 8)*x + 1 h =@(x) (x-1).^8

x = linspace(0.99,1.01,100);

Shouldn't the 100 be 101 for 101 equally spaced points?

So how is the call made in this fashion?

Thanks again!

[Shashank Prasanna]

Jesse, here is an example, you can follow the same approach for any anonymous function handles that has been defined the proper way to do elementwise operations:

h =@(x) (x-1).^8;
x = linspace(0.99,1.01,100);
plot(x,h(x))

Answer 2

[Azzi Abdelmalek]

for k=1:numel(t)
  y(k)=f(t(k))+g(t(k))+h(t(k))
end
plot(t,y)

[Azzi Abdelmalek]

Jesse commented

Azzi,

I take it I still need the dots to definte t(k)? How is t(k) defined? Thanks!