Defining, Evaluating and Plotting Functions :MATLAB Assignment

1. At the prompt type: syms x and then press Enter .
Now type f = sin(x) and then press Enter .
2. Type (at the prompt and then press Enter ):
subs(f, 2)
subs(f, ’2’)
double(ans)
Which of the above answers are numerical and which are symbolic? (You may want to type: help subs and help double for explanations)
3. Enter: ezplot(f)
4. Following the example above, define and plot the function g(x) = exp(x) by typing: syms x
g = exp(x)
ezplot(g)
Then adjust the domain in the plot by typing: ezplot(g,[-2,2])
5. Enter: ezplot(xˆ2)
6. Plot the function by typing: ezplot(sqrt(xˆ2 - .00001)). Plot the function x7- x by typing: ezplot(xˆ7 - x).
Because of the domain chosen by the computer, important features of the graphs are missing. What are they? Try adjusting the domains until these features are shown.
7. Plot the function sin(x5) by typing: ezplot(sin(xˆ5)). A computer plots a function by locating a finite number of points and “connecting the dots”. How does this go wrong for sin(x5)?
8. Prepare a brief (< 2>

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