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 one year ago
For what intervals is f(x) = 2x^4 – 4x^2 + 6 increasing?
A. The graph is increasing on the intervals (1, 0) and (1, ∞).
B. The graph is increasing on the interval (1, ∞).
C. The graph is increasing on the interval (1, 0).
D. The graph is increasing on the intervals ( ∞ , 1) and (0, 1).
 one year ago
For what intervals is f(x) = 2x^4 – 4x^2 + 6 increasing? A. The graph is increasing on the intervals (1, 0) and (1, ∞). B. The graph is increasing on the interval (1, ∞). C. The graph is increasing on the interval (1, 0). D. The graph is increasing on the intervals ( ∞ , 1) and (0, 1).

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bfsgd
 one year ago
Best ResponseYou've already chosen the best response.0You can differentiate the function and it is increasing if f ' (x)>0.

onegirl
 one year ago
Best ResponseYou've already chosen the best response.1@electrokid can u help?

bfsgd
 one year ago
Best ResponseYou've already chosen the best response.0Differentiating f(x) we get \[f'(x)=8x^3  8x=8x(x^21)\] That is positive for all x>1.

bfsgd
 one year ago
Best ResponseYou've already chosen the best response.0No...D includes negative numbers. You need the one thats only x>1.

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1dw:1364917996121:dw get the critical points you see the four intervals? take an arbitrary number from each interval and check the signs of the derivative

onegirl
 one year ago
Best ResponseYou've already chosen the best response.1what do you mean nope?

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1yep. B is not the answer

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1check the interval (1,0)

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1in math, there are no shortcuts. follow the "yellow brick road"

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1do you see the mistake?

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1so, what is the answer?

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1follow the steps. did you use the number line that I drew?

onegirl
 one year ago
Best ResponseYou've already chosen the best response.1so the critical points are 1, 0 and 1

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1sorry. yes. you are correct. "3" points, 1, 0 and 1

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1dw:1364919097503:dw

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1interval (inf, 1) plug in x=2 and find f'(x)

onegirl
 one year ago
Best ResponseYou've already chosen the best response.1plug in 2 into the problem?

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1into the entire thing f'(x)

onegirl
 one year ago
Best ResponseYou've already chosen the best response.1and the derivative i got 0

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1\[f'(2)=8(2)[(2)^21]=?\]

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1good.dw:1364919435696:dw now, we check interval (1,0) find \[f'(0.5)\]

onegirl
 one year ago
Best ResponseYou've already chosen the best response.1you mean find the derivative of 0.5 ?

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1derivative "at" x=0.5

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1yep. what did you get?

onegirl
 one year ago
Best ResponseYou've already chosen the best response.1i'm still getting 0 :/

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1\[f'(0.5)=8(0.5)[(0.5)^21]=?\]

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1good.dw:1364919843444:dw now we check interval (0,1) lets take x = 0.5 similarly, find \[f'(0.5)\]

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1great dw:1364919912982:dw now the final interval (1,+infty) we take x= 2 \[f'(2)=?\]

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1perfect. dw:1364919991818:dw now, f(x) is increasing when f'(x) >0 (i.e., f'(x) is positive) and f(x) is decreasing when f'(x) < 0 (i.e., f'(x) is negative)

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1so, in what intervals do you see f'(x) positive?

onegirl
 one year ago
Best ResponseYou've already chosen the best response.1ok in 0,1 and 1, + infi

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1great. which option says that?

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1and that is your answer yay

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1follow the same procedure for the other one,
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