Which of the functions below could have created this graph ?

According to the y-intercept and it's behavior, the function that could have created it's graph is:

D.

This function has a negative y-intercept, that is, when , y has a negative value, which means that options A and B are incorrect.

The function also points upwards, which means that the leading coefficient, that is, the multiplier of the value of x with the highest exponent is positive, hence option C is incorrect.

Thus, the function is:

D.

A similar problem is given at link

Step-by-step explanation:

There is parabola on the graph, so the function might be quadratic or 4th power. We have no numbers on axises, then let's analyze the answers:

(A) The graph is no parabola for this function.

(B) The  parabola for " - x² " is opened downward.

(C) The  parabola for this function is also opened downward.

(D) This one option is the answer. The y-intercept is (-2)

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

i dont have an answer

step-by-step explanation: