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Mathematics 10 Online
OpenStudy (samirahdanyel):

Can someone tell me if im right?

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?

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

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?

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

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?

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

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

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

Vocaloid (vocaloid):

our range, therefore, is (5, infinity)

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