Answer:
A, D, F
Step-by-step explanation:
A) It is seen from the graph that the average rate of change from x=-2 to x=0 is negative since the values of y are decreasing (Correct answer)
B) The coordinate (2, 3) doesn't satisfy the function y=x^2 since 2^2isn't equal to 3 (Wrong answer)
C) The x intercept is the point where the line crosses the x axis. The coordinates of the origin is (0, 0). But the function y = x^2+3 doesn't have any x-intercept (Wrong answer)
D) For the function y=x^2, when the value of x is equal to 0, the value of y is also equal to 0 so the graph of the function has an x-intercept at the origin (Correct answer)
E) The average rate of change in the given interval is negatiove. Refer to the option A (Wrong answer)
F) The coordinate (2, 7) satisfies the function y=x^2+3 (2^2+3=7) so it is a solution to the equation of the function (Correct answer)