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

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) (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
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