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====== Math 445 lab 3: scripts and plotting ====== Write a single Matlab script file that performs the following operations. **Problem 1:** Redo problem 15 from lab 2 using a Matlab script. The problem is make a plot of the polynomial $f(x) = x^3 -5x^2 + 2x + 3$ over the range $-1 \leq x \leq 5$. Give the plot square axes and the title "math 445 lab 3 problem 1". **Problem 2:** Make a plot of $y(x) = 147 \times 10^{-2x}$ over the range $0 \leq x \leq 4$ using a dashed magenta line. Chose an appropriate plotting function that best displays the functional relationship between $x$ and $y$. Label the axes and place a coordinate grid within the plot. Title the plot "math 445 lab 3 problem 2". **Problem 3:** Make a plot of $y(x) = 0.3 \log x + 2$ over the range $1 \leq x \leq 10^5$ using a dot-dashed cyan line. Chose an appropriate plotting function that best displays the functional relationship between $x$ and $y$. Label the axes, set the $y$ range of the plot to $2 \leq y \leq 6$, and place a coordinate grid within the plot. Title the plot as in previous problems. **Problem 4:** Make a plot of $y(x) = 10 x^{-3}$ over the range $10 \leq x \leq 10^4$ using a solid green line. Chose an appropriate plotting function that best displays the functional relationship between $x$ and $y$. Label the axes, set the $x$ range of the plot to $0 \leq x \leq 10^5$, and place a coordinate grid within the plot. Title the plot as in previous problems. to be continued...
