Question

I need help finding the range, y- intercept and the asymptotes for the following problem:f(x)=3^x-2

Answer 1

X-intercept. not y-intercept

Answer 2

3^x - 2 = 0
3^x = 2
x ln3 = ln 2
x = ln2 / ln 3

x intercept is 0.63

Answer 3

okay, what about the range?

Answer 4

range is -2 to +infinity

Answer 5

asymptote at f\9x) = -2

Answer 6

f(x) = -2

Answer 7

vertical, horizontal, or origin asymptotes

Answer 8

horizontal

Answer 9

how did you get there?

Answer 10

as x --> negative infinity 3^x --> 0 and f(x) ---> -2

Answer 11

i still need the range.....

Answer 12

the range is possible values of f(x) and is (-2, +infinity)

Answer 13

lower limit is -2 but f(x) is never = -2 so the bracket is '('.

Answer 14

ok?

Answer 15

done with the problem