Mathematics
10 Online
OpenStudy (samirahdanyel):
Can someone tell me if im right?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (samirahdanyel):
Vocaloid (vocaloid):
not quite
Vocaloid (vocaloid):
for 3^x we can plug in anything for x and still get an answer
Vocaloid (vocaloid):
so what's the domain?
OpenStudy (samirahdanyel):
isnt it infinity?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (legomyego180):
Can you plug a negative number into the exponent?
Vocaloid (vocaloid):
good, (-infinity,infinity)
OpenStudy (samirahdanyel):
so im not right?
Vocaloid (vocaloid):
now, what do you think the minimum value of 3^x is?
Vocaloid (vocaloid):
no your original answer was not correct
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (samirahdanyel):
wait so the domain was infinity?
Vocaloid (vocaloid):
the domain was
(-infinity,infinity)
OpenStudy (samirahdanyel):
so its either the first or the second answer
Vocaloid (vocaloid):
good, let's get to that
Vocaloid (vocaloid):
what do you think the minimum value of 3^x is?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (samirahdanyel):
okay
OpenStudy (photon336):
domain should be all real #'s
OpenStudy (samirahdanyel):
i honestly dont know
OpenStudy (samirahdanyel):
Im not sure
Vocaloid (vocaloid):
hint: the lowest value of 3^x occurs when x = 0
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (samirahdanyel):
so the range is 0,infinity
Vocaloid (vocaloid):
actually scratch that
OpenStudy (samirahdanyel):
okay
Vocaloid (vocaloid):
hint: what happens when we plug in a very negative number for 3^x?
Vocaloid (vocaloid):
like, x = -9999?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (samirahdanyel):
its infinity ?
Vocaloid (vocaloid):
try it
Vocaloid (vocaloid):
what is 3^(-9999)?
OpenStudy (samirahdanyel):
can i put that in a calc?
Vocaloid (vocaloid):
sure
Join the QuestionCove community and study together with friends!
Sign Up
Vocaloid (vocaloid):
if -9999 gives you an error try something like -100
OpenStudy (samirahdanyel):
okay
OpenStudy (samirahdanyel):
@Vocaloid
Vocaloid (vocaloid):
lol
Vocaloid (vocaloid):
don't include x
Join the QuestionCove community and study together with friends!
Sign Up
Vocaloid (vocaloid):
3^-999 is about 0
Vocaloid (vocaloid):
now, our function is
3^x + 5
Vocaloid (vocaloid):
the minimum value of 3^x is approximately 0
Vocaloid (vocaloid):
so the minimum of the entire function is 0 + 5 = 5
OpenStudy (samirahdanyel):
oh okay
Join the QuestionCove community and study together with friends!
Sign Up
Vocaloid (vocaloid):
our range, therefore, is (5, infinity)