3. Listed below are 16 phrases describing different growth/decline characteristics. For cach graph below, write the mumbers of all (there may be more than one) phrases that correctly deseribe the growth /decline exhibited in that graph. The graph is constant. | 10. The rate of change is always decreasing. The graph is decreasing at a constant rate. 11. The graph is decreasing and the rate of The graph is increasing. change is increasing. The graph is concave up. 12. The graph is decreasing and the rate of The graph is concave down. change is decreasing. The rate of change is always positive. . The graph is increasing and the rate of The rate of change is always negative. change is decreasing. The rate of change is constant. . The graph is increasing by more and more. The rate of change is always increasing. s is decreasing by more and more. i i i less and less. 1. Z 3. 4. 5. b 7. 8. 9. 1. Let f(x) be the function in the graph below. (a) Is the rate of change negative between r = 1 and z = 37 (b) Is the function decreasing between = 1 and = 37 () Draw the line that connects (1, f(1)) with (3, f(3)) on the graph. How does this line connect to the rate of change? {(d) Find an interval where the rate of change is positive, but the function is not increasing over the same interval. {) Find an interval where the function is increasing. 5. Draw the graph of a function f that satisfies the first two conditions below. Next, draw the graph of a hinction g on the same axes that satisfies the last two conditions. (a) f(0)=2 (b) J(-3) = (3) = J(9) =0 (c) f(2)=g(2) (d) g(z) > f(z) for z > 2