11b: use your graphic display calculator to find the zero of f(x).

I need help with these two problems please!

The answer to your question is below

Step-by-step explanation:

                           f(x) = 27/x² - 16x

Evaluate the function when x:

              x                    f(x)

            -4                27/(-4)² - 16(-4)   = 27/16 + 64 = 65.69

            -3                27/(-3)² - 16(-3)   = 27/9 + 48 = 51

           - 2                27/(-2)² - 16(-2)   = 27/4 + 32 = 38.75

           - 1                 27/(-1)² - 16(-1)   = 27/1 + 64 = 91

             1                 27/(1)² - 16(1)   = 27/1 - 16 = 11

             2                27/(2)² - 16(2)   = 27/4 - 32 = -25.25

             3                27/(3)² - 16(3)   = 27/9 - 48 = -45

See the graph below

f

step-by-step explanation:

f

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2