Compare the two functions. f(x) = 4x x f(x) 0 1 1 4 2 16 3 64 4 256 5 1,024 g(x) = 5x + 6 x g(x) 0 6 1 11 2 16 3 21 4 26 5 31 which statement is true? a. on every interval of x, the rate of change of f(x) exceeds the rate of change of g(x). b. as x increases, the rate of change of g(x) exceeds the rate of change of f(x). c. at x = 2, the rate of change of g(x) is equal to the rate of change of f(x). d. as x increases, the rate of change of f(x) exceeds the rate of change of g(x).

Provide an example of a trigonometric function and describe how it is transformed from the standard trigonometric function f(x) = sin x, f(x) = cos x, or f(x) tan x using key features.

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

Find the zero function by factoring (try to show work) h(x)=-x^2-6x-9