Question

Identify the range of the exponential function y = {\left( {6.3} \right)^x} y = ( 6.3 ) x

Answer 1

can you try typing it out a little clearer?

is it y = 6.3^x?

Answer 2

sorry @Vocaloid you're right it is y=6.3^x

Answer 3

there are no restrictions on the domain, so we can examine the end behavior of the function

if we plug in a very large negative value for x, the function approaches 0 but does not reach it

if we plug in a very large positive value for x, the function approaches infinity

Answer 4

so your range should be (0,infinity)

Answer 5

ok thanks but do you know how @Vocaloid

Answer 6

what do you mean?

Answer 7

I know because of prior knowledge/experience, but if you are uncertain, you can try plugging in values to see what you get

6.3^(-10000) = a very very small value (0.0000000000etcsomething)
6.3^(100000) = a very large value

Answer 8

it never reaches 0 so the range starts at (0) not inclusive

Answer 9

@Vocaloid ok thanks