SOLUTION: which of the following statements is/are true-select all that apply if f'(x)>0, then f(x) is increasing if f(x) is increasing, then f'(x)>0 if f(x) is increasing, then f(x)>0 i

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: which of the following statements is/are true-select all that apply if f'(x)>0, then f(x) is increasing if f(x) is increasing, then f'(x)>0 if f(x) is increasing, then f(x)>0 i      Log On


   

Question 201606: which of the following statements is/are true-select all that apply
if f'(x)>0, then f(x) is increasing
if f(x) is increasing, then f'(x)>0
if f(x) is increasing, then f(x)>0
if f(x)>0, then f(x) is increasing
I am so confused can someone help please
thanks
Answer by J2R2R(94) About Me  (Show Source):
You can put this solution on YOUR website!
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