SOLUTION: I am having trouble solving these three questions involving logarithms and exponents. Any help with solving these would be appreciated. Thank you!!!!! 1. Do exponential function

Question 171741: I am having trouble solving these three questions involving logarithms and exponents. Any help with solving these would be appreciated. Thank you!!!!!
1. Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case
2. True or false: The function "f(x) = 3x" grows three times faster than the function "g(x) = x". Explain.
3. What are the asymptotes of the functions "f(x) = 3x" and "g(x) = log52x"?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case
Ans: They can model growth and they can model decay.
Form: y = ab^x
Growth if b>1
Decay if 0 -----------------------------
2. True or false: The function "f(x) = 3x" grows three times faster than the function "g(x) = x". Explain.
Ans: f grows at a steady rate of 3 to 1
g grows grows at a steady rate of 1 to 1
-------------------------------------------------
3. What are the asymptotes of the functions "f(x) = 3x" and "g(x) = log52x"?
Ans: f has no asymptote
g has a vertical asymptote at x = 0
=======================================
Cheers,
Stan H.

RELATED QUESTIONS
Hello, I am trying to solve this problem, I am doing radicals and rational... (answered by edjones)

I am having trouble solving these problems could someone help me?... (answered by funmath)

I have a few questions on here that I am having trouble solving, please... (answered by Alex.33)

I am having trouble solving the following equation: 3^(3x-4)=9^x. Any help would be... (answered by rcmcc)

The probability of rain on a given day in September is 0.25. a) Assuming independent... (answered by swincher4391)

Please..i am having a lot of trouble with these. any help would appreciated. f(x) =... (answered by solver91311)

Can someone help me with this. I had 6 problems to solve and I am having trouble solving... (answered by stanbon)

I am having trouble solving the equation: 9/b-8/b=1/4. Can you... (answered by Alan3354)

I have read and studied and googled to try to solve these algebra questions and i have... (answered by ewatrrr,Alan3354)