MatLab fplot help. Something may be wrong with my fplot?

[sloan13]

Homework Statement

The problem was "Plot the following equation with MatLab, for values of x from -3 to 6.

Homework Equations

y = x^4 - 4x^3 - 6x^2 + 15

The Attempt at a Solution

I created a function.

function r = graph(x)
for i = 1:x
r(i) = i^4 - 4*i^3 - 6*i^2 + 15;
end

Then I passed fplot(graph(10), [0 10000]) through the command prompt.

It returned

Error using fcnchk (line 107)
FUN must be a function, a valid string expression,
or an inline function object.

Error in fplot (line 61)
fun = fcnchk(fun);

Any ideas on what this means?

 

[DrClaude]

function r = graph(x)
for i = 1:x
r(i) = i^4 - 4*i^3 - 6*i^2 + 15;
end

Why does your function return a vector?

Then I passed

fplot(graph(10), [0 10000])

through the command prompt.

Why are you plotting from 0 to 10000? (And there is a comma missing.)

(Note: please use the CODE tags to delimit code.)

 

[sloan13]

Why does your function return a vector?

I needed a vector to plot it, right?

Why are you plotting from 0 to 10000? (And there is a comma missing.)

they were just the first two numbers I thought of.

 

[DrClaude]

I needed a vector to plot it, right?

Not if you are using "fplot". You need to define a function, and "fplot" will call it as needed to generate to plot.

Alternatively, you can define a vector of x values, then build a vector of the corresponding y values, and use "plot" to plot it.

Think a bit about what you did in the function. Given a value of x, you generate a vector that contains the values of $y(x)$ for $x$ the integers between 1 and x.

I'll also give you some advice about coding polynomials. You should never write

r(x) = a4*x^4 +a3*x^3 + a2*x^2 + a1*x + a0;

as this can lead to a big rounding error (depending on the value of x and the coefficients of the polynomial). You should use instead

r(x) = (((a4 * x + a3) * x + a2) * x  + a1) * x + a0;

they were just the first two numbers I thought of.

But the problem tells you what the range of the plot should be.

 

[sloan13]

But the problem tells you what the range of the plot should be.

I thought that meant to use a for loop to use each of those values. That's why I used for i = 1:10

 

[DrClaude]

I thought that meant to use a for loop to use each of those values. That's why I used for i = 1:10

That would have given you the values for $x \in [1,10]$, not $x \in [-3,6]$ as the problem asks.