SOLUTION: State the domain, range and asymptote for the functions g(x) = 10^(x - 3) g(x) = 15 - 5^x please explain, thank you

Algebra ->  Functions -> SOLUTION: State the domain, range and asymptote for the functions g(x) = 10^(x - 3) g(x) = 15 - 5^x please explain, thank you      Log On


   

Question 912458: State the domain, range and asymptote for the functions
g(x) = 10^(x - 3)
g(x) = 15 - 5^x
please explain, thank you
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
g%28x%29+=+10%5E%28x-3%29+
+graph%28+600%2C+600%2C+-5%2C+5%2C+-3%2C+3%2C+10%5E%28x-3%29%2C10%5E%28x-3%29+%29+

domain: R (all real numbers)

range:{ g element R : g%3E0 } (all positive real numbers)
as you can see, a graph of this function goes very close to g%28x%29=0 but it is not equal to zero


g%28x%29+=+15-5%5Ex+

+graph%28+600%2C+600%2C+-15%2C+15%2C+-5%2C+20%2C+15-5%5Ex%2C15-5%5Ex+%29+

domain: R (all real numbers)

range:{ g element R : g%3C15 }