Question

what is the domain of this function?

Answer 1

\[f(x) = (\frac{ 1 }{ 2 })^{x} - 3\]

Answer 2

@jim_thompson5910

Answer 3

what values of x can you not plug in

Answer 4

-2?

Answer 5

you can plug in -2 just fine to get some real number as an output

Answer 6

ugh well then i don't know

Answer 7

there are no division by zero restrictions to watch out for, so you can plug in any number you want for x

Answer 8

that's why the domain is the set of all real numbers

Answer 9

so it's all real numbers

Answer 10

yes

Answer 11

what about finding the range of y = 3^x - 10

Answer 12

is the -10 part of the exponent?

Answer 13

no

Answer 14

so that means -10 is the smallest y can be

it can't actually equal -10, so this means the range is y > -10

Answer 15

in interval notation, the range is (-10, infinity)