Question

Could someone explain what the domain and range of this function is to me? (attached)

Answer 1

i dont believe this has domain restriction =_=

Answer 2

Correctm @lgbasallote .
The Domain would be \(\ \huge D: (-\infty, \infty) \).

Answer 3

domain should be (-infinity, +infinity)
range i guess is (-infinty ,17)

Answer 4

How do you know if it doesnt have a domain, could you explain? I am very confused by domain and range

Answer 5

@Study23 i said it didnt have restrictions...that means all values of x :P i didnt say it didnt have a domain haha lol

Answer 6

domain restrictions are for example in rational expresssions the domain cannot be 0

Answer 7

domain are those values of x for which the function gives out real values
for eg. domain of log x is (0,infinity) as log x gives comples values for x<= 0
range is the global maximum and minimum value of the function for its domain

Answer 8

uhh correction in my last comment...the denominator cannot be 0* lol

Answer 9

what about the range? How would that work for this example?

Answer 10

solve for x

Answer 11

@shubhamsrg you said that the range is (-infinity, 17) my choices for the range on my wkst include (y<-21) or (y<21) or ( all real numbers -infinity, +infinity) Could you explain how you got your answer?

Answer 12

ohh..sorry sorry theres a correction,,it should be y<21
well you see that -4(1.5)^(x-6) can never take any positive value..
for some x,,this term juts tends to 0..so the maximum value the function can take is 21..(infact just less than 21) .. was i clear enough?

Answer 13

Yes, thank you for clarifying. Much appreciated.

Answer 14

^_^