SOLUTION: {{{f(x)=-1(2)^(x-3)+2}}} [edited function so that {{{f(x)}}} would be at the left side how do i find the domain, range, and the x-intercept?

Algebra ->  College  -> Linear Algebra -> SOLUTION: {{{f(x)=-1(2)^(x-3)+2}}} [edited function so that {{{f(x)}}} would be at the left side how do i find the domain, range, and the x-intercept?      Log On


   

Question 756284: f%28x%29=-1%282%29%5E%28x-3%29%2B2 [edited function so that f%28x%29 would be at the left side
how do i find the domain, range, and the x-intercept?
Answer by algebraic penguin(13) About Me  (Show Source):
You can put this solution on YOUR website!
hello,
The function is equivalent to -2%5E%28x-3%29%2B2.
Since the exponential function is valid for all real numbers, the domain is the real numbers.
The range of 2%5E%28x-3%29 is (0,inf), as it does not allow negative numbers and it does not have a limit. Hence -2%5E%28x-3%29 has a range of (-inf,0), so the range of -2%5E%28x-3%29%2B2 is (-inf,2)
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