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anonymous
 one year ago
please help find domain/range of this function
f(x)=sqrt(x+3)
anonymous
 one year ago
please help find domain/range of this function f(x)=sqrt(x+3)

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Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0well, let's start off w/ the domain everything under the square root (radical) must be greater than or equal to 0, giving us: \[x+3 \ge0\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i understand that... but the negative before the sqrt is what makes me unsureee

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0the negative sign doesn't make a difference for domain. it will change the range though

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then i think its X must be greater than or equal to 3 for domain

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0yup! do you think you can find the range now?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0umm.. no haha.. plug 3 in for x..? :s

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0not quite, haha. well, first, let's consider y = sqrt(x+3), without the negative sign for now you would agree that y must be greater than or equal to 0, correct? since square root of anything must be greater than or equal to 0

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0all the negative sign does is "flips" the graph across the yaxis, making our domain y \[y \le 0\] since all our y values are now negative or 0

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0our graph ends up looking like this: dw:1440111137663:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the range would be (infinity,0)

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0almost, (infinity,0] since 0 is included

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0(we use square brackets when we want to include the other value)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohhhh yaaaa, sorry brain fart lol thank you so much

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Vocaloid i have another question... what would be the best way to find f(x)=3sinx

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0ah, ok, let's start off by looking at f(x) = sin(x) this function has a domain of (infinity,infinity) and a range of [1,1] and looks something like this: dw:1440111869717:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0now, we look at f(x) = 3sin(x), which just stretches the graph by a factor of 3, like so: dw:1440111923075:dw so, any ideas about our domain and range?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the domain should be (infinit,infinity)

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0right, and the range?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0praise you math god lol. i might have a few more questions
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