Select the correct answer. Consider functions f and g. f(x) = x^3 + 5x^2 - x x -2 -1 0 1 2 3
g(1) - 4 8 6 2 -16 -84

Which statement is true about these functions?
A. Over the interval -2, 2), function fis increasing at the same rate that function g is decreasing.
B. Over the interval (-2, 2), function fand function gare decreasing at the same rate.
C. Over the interval (-2, 2), function fis increasing at a faster rate than function g is decreasing.
D. Over the interval (-2, 2), function fis decreasing at a faster rate than function gis increasing.

Acircle has a circumference of 2 pi cm. which statement about the circumference and area is true? a comparison of the area and circumference is not possible since the area cannot be determined. the numerical values of the circumference and area of the circle are equal. the numerical value of the circumference is greater than the numerical value of the area. the numerical value of the circumference is less than the numerical value of the area.

The base of a triangle exceeds the height by 7 centimeters. if the area is 400 square centimeters, find the length of the base and the height of the triangle.

Design an er diagram for keeping track of information about votes taken in the u.s. house of representatives during the current two-year congressional session. the database needs to keep track of each u.s. state's name (e.g., texas', new york', california') and include the region of the state (whose domain is {northeast', midwest', southeast', southwest', west'}). each congress person in the house of representatives is described by his or her name, plus the district represented, the start date when the congressperson was first elected, and the political party to which he or she belongs (whose domain is {republican', democrat', 'independent', other'}). the database keeps track of each bill (i.e., proposed law), including the bill name, the date of vote on the bill, whether the bill passed or failed (whose domain is {yes', no'}), and the sponsor (the congressperson(s) who sponsored - that is, proposed - the bill). the database also keeps track of how each congressperson voted on each bill (domain of vote attribute is {yes', no', abstain', absent'}). additional information: