Question 201606
Which of the following statements is/are true-select all that apply


a.	if f'(x)>0, then f(x) is increasing


b.	if f(x) is increasing, then f'(x)>0


c.	if f(x) is increasing, then f(x)>0


d.	if f(x)>0, then f(x) is increasing 



a. if f’(x) > 0 then the rate of change is positive means it is increasing. Therefore if f'(x)>0, then f(x) is increasing – TRUE


b. if f(x) is increasing then the rate of change is greater than 0. Therefore if f(x) is increasing, then f'(x)>0 – TRUE


c. if f(x) is increasing, that doesn’t mean that f(x) is greater than 0. Something with a negative value can gradually increase and become positive. Therefore if f(x) is increasing, then f(x)>0 – FALSE


d. if f(x)>0, that doesn’t mean that f(x) is increasing. You can have positive values gradually lessening and becoming negative. Therefore if f(x)>0, then f(x) is increasing – FALSE