The graph represents the function f(x), and the table represents the quadratic function g(x)

which statement about the functions is true over the interval [-2.1]
a
the average rate of change of cx is greater than the average rate of change of
b. the average rate of change of fx is less than the average rate of change of sx
c.
the average rate of change of
is equal to the average rate of change of 8
d.
there's not enough information to determine the average rate of change of

answer: -8.2562234e+13

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

add 8+12 to get a simplified answer of 12r-20