All of this is correct although with your range you don't include -1 itself. The range should be written as
I think you mean
as
as
As the exponent has base 1.06 then the growth rate is 6% with an initial value of 10,000
Hope that helps!
For the function: y = 3(2)^x - 1
Are these correct?
Domain: -infinity to infinity
Range: -1 to infinity
Y-Asymptote: -1
I also need to find the intervals of increase/decrease but I am unsure on how to do that.
And my last question. How do you find the growth rate of 10000(1.06)^x
All of this is correct although with your range you don't include -1 itself. The range should be written as
I think you mean
as
as
As the exponent has base 1.06 then the growth rate is 6% with an initial value of 10,000
Hope that helps!
The range is because as you said before there is an asymptote at -1. Otherwise correct.
The interval of increase or decrease depends on what the value of x is.
You can find the growth rate by using the binomial expansion (1.06 = 1+0.06) or by plugging in x or using logarithms depending on what you know