For each of the following graphs use interval barstool to ex
For each of the following graphs, use interval barstool to express the values of x on which the graph is:
i. The value of the function is increasing
ii. The value of the function is decreasing
iii. The rate of change of y with respect to x is increasing.
Solution
interval in which function goes upward will be interval of increase.
interval in which function goes downward will be interval of decrease.
Ans(A):
i. The value of the function is increasing = (-2.5,2)
ii. The value of the function is decreasing = (-infinity,-2.5) U (2,infinity)
iii. The rate of change of y with respect to x is increasing = (-2.5,2)
iv. The rate of change of y with respect to x is decreasing = (-infinity,-2.5) U (2,infinity)
similarly you can do parts B and C
