14) A number z is called a zero of a function f if and only if f(a) 0. One way to find zeros is to sketch the graph of the function. For example, consider the function f(x) ar3- 4z2 -11a +30. The following code could be used for this purpose: f-0(x) x.3-4*x.~2-11*x+30; x-linspace (-10,10,200); y-f (x); plot (x,y) axis ([-10,10,-100,100]); grid on; As you can see, the zeros are evident from the plot. You can also double-check that the zeros are indeed zeros. Suppose that the zeros are -3, 2,5. Then type: x-I-3,2,5]; f (x) (a) In MATLAB check that z1 and z 3 are zeros of the function f(r)2-3 by plotting the function and identifying the zero crossings. (Plotting can be done as explained above, or an even easier way is to use the command ezplot.) (b) Find the zeros of f(x)292 132. (c) Use the MATLAB command fzero to find the zeros for the functions in (a) and (b). Does fzero give you a more accurate result than the graphical method? (d) Use the command fzero to solve the following equation 5- 2for z. (e) Use the fzero command to find the zeros of the functions below on the given domain: f(x) = 9-4x-x2 on [-7,3] f(x)r-a-8 on [-3,4]