Consider the following function:

$f(t)=t^4-2\mathrm{.}5t^3-2\mathrm{.}5t^2+15t-3$

Note: You may use any software $($e$.$g$.,$ Python, MATLAB, Excel$)$ to generate the requested plot. Be sure to include axis labels and a title.

a$)$ Is the function $f(t)$ discrete or continuous? Why?

b$)$ Plot the function $f(t)$ over the range $-2\mathrm{.}5t4.$ Insert your plot below.