solve the three exercises below for the function of x f(x)= -3x3 +2x2-5x+3  the -3x has the three over the x same as the 2x two is over the x

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The function, f(x) = 3x^3 + 2x^2 - 5x + 3, is not factorable  Therefore, we can either solve it by graphing or approximate the solution(s), using a table of values.If you were to use a graphing calculator, you would enter the function into the Y= section, then use the CALC menu to find the zero(s).  Doing so, you will find that the function only crosses the x-axis once, and the only real solution (rounded to the nearest thousandths) is x = -1.855.We can also use a table of values to approximate the solution(s) to our function.  Picking some values of x and solving for f(x), we get: x    f(x)-3   -45-2    -3-1     7 0     3 1     3 2    25 3    87Notice that between x = -2 and x = -1, there is a sign change for f(x).  In order for the function to go from the point (-2,-3) to (-1,7), it must cross through the x-axis.  This indicates that there is a real zero between -2 and -1 (***note that our solution, -1.855, is between -2 and -1).