The table represents function f. 3
4
5
6
7
8
9
f(x)
59
63
71
87
119
183
311
Function g is an exponential function passing through the points (3,–53) and (5,-41), which statement is true over the interval (3, 5]
OA
ООО
The average rate of change of fis greater than the average rate of change of g.
The average rate of change of fis the same as the average rate of change of g.
The average rate of change of fis less than the average rate of change of g.
The average rates of change of fand g cannot be determined from the given information.
D

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

ans789

step-by-step explanation:

what statement? is there an image?

the answer is b