SOLUTION: I need to find these 6 answers in regards to the logarithmic equation y=17(2^(3x)) a. x intercept b. y intercept c. domain d. range e. horizontal asymptote f. weather its gr

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I need to find these 6 answers in regards to the logarithmic equation y=17(2^(3x)) a. x intercept b. y intercept c. domain d. range e. horizontal asymptote f. weather its gr      Log On


   

Question 437659: I need to find these 6 answers in regards to the logarithmic equation y=17(2^(3x))
a. x intercept
b. y intercept
c. domain
d. range
e. horizontal asymptote
f. weather its growth or decay
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
a. x-intercept: Let y = 0.0+=+17%2A2%5E%283x%29. Since this equation has no solution, there's no x-intercept.
b. y-intercept: Let x = 0.y+=+17%2A2%5E%283%2A0%29+=+17. Hence the y-intercept is the point(0,17).
c. Domain is the set of all real numbers.
d. Range is the set of all positive real numbers.
e. Horizontal asymptote is the line y = 0.
f. It is a growth function, because the base is 2 (greater than 1).