Use the graph of the polynomial function f(x) = −x3 + 5x2 − 2x – 8 to complete the following:
f is on the intervals (- ∞,1/3) and (3, ∞).
f is on the intervals (- 1, 2) and (4, ∞).
f is on the interval (1/3, 3).
f is decreasing on the intervals (−∞, - 1) and (2, 4).
Word Bank: Positive Decreasing Increasing Negative

What number line represents the solution set for the inequality -1/2 greater than or equal to 4

The legs of a right triangle measure 6 meters and 8 meters. what is the length of the hypotonuse.

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.