questions e-k

1. Use your graphing calculator to graph each of the following functions and provide the requested information using appropriate interval notation. You will have to set an appropriate window setting to fully see the graphs. To find the x values where the function changes from increasing to decreasing, use the minimum and maximum feature in the Calculate graphing menu of your graphing calculator. You find this by selecting TRACE and number 3: Minimum or 4: Maximum. f(x) =x3 -3x2 -6x +8 a What is the degree of this polynomial? 3 b. What is the y-intercept of this polynomial? (0 , 8) C. How many solutions are there for f (x) = 0? 3 (- 2, 1 , - 4) x 3 - 3X2 - 6X = - 8 d. How many turns points does f (x) have? ( x - 1 ) ( e. On which intervals of x is f (x) positive. ( - 4 1 - 2 70 (1 , 00 ) f . On which intervals of x is f (x) negative. ( = 00 , - 4 ) 0 ( - 2 , 1 ) On which intervals of x is f (x) increasing. (-0 - 1 - 53 ) U( -1 + V, 3, 50) h . On which intervals of x is f (x) decreasing. ( 1 - 5 3 1 + 1 + 5 3 ) i. Estimate on which intervals of x is f (x) concave up. j. Estimate on which intervals of x is f (x) concave down. K. Describe the end term behavior of the function. As x - -0o, f(x)- As x - 00, f(x) -_