SOLUTION: I can't find the domain and range of f(x)=-2(0.5)^x +1

Question 458507: I can't find the domain and range of f(x)=-2(0.5)^x +1
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
I can't find the domain and range of f(x)=-2(0.5)^x +1
..
f(x)=-2(0.5)^x +1
rewrite equation
f(x)=-2(1/2)^x+1
f(x)=-2(1/2^x)+1
First, look at the basic exponential function,1/2^x
You can see at x=0, the function is=1
As x>0 the denominator 2^x becomes larger and the function becomes smaller, making the x-axis a horizontal asymptote.
As x<0 the denominator 2^-x becomes smaller and the function becomes larger to infinity.
The +1 in the function bumps the entire curve one unit up so the horizontal asymptote is at y=1.
The coefficient, makes the curve a little steeper and you can almost ignore it .
The last important factor is the negative sign which means the entire curve must be reflected about the x-axis.
ans:
Domain:(-∞,∞)
Range: (-∞,-1)
RELATED QUESTIONS
I need to find out the domain and range of f(x)=(1/2)log( x -... (answered by tommyt3rd)

find the range and domain.... (answered by jim_thompson5910,MathLover1)

Find the domain and range of f(x)=x^2 Find the domain and range of f(x)=1/(x^2-1)^1/2... (answered by Fombitz)

what is the domain and range of f(x)=1+x^2 restricted to... (answered by josgarithmetic)

f(0), f(2), f(4) f(x)= -1-x if x<2 and 5-x if x>2 Need domain, range and value of x to... (answered by stanbon)

find the domain and range of f(x) = (x)/(sqrt(1 - ((sqrt(-... (answered by mccravyedwin,Edwin McCravy)

how do i find the domain and range of f(x) = (1 / x+4)... (answered by lynnlo)

what is the domain and range of f(x)=x^2-1. and how do i find ranges in... (answered by MathLover1)

What is the domain and range of the function f( x)=sin^-1 (x) The correct answer is one (answered by MathLover1)