How do I find the range of the function y=-2^x+2? Precalculus Functions Defined and Notation Range 2 Answers Antoine Apr 22, 2015 Here's my attempt: y<2 is the range. y=-2^x+2 Can also be written as 2-y=2^x and also, ln(2-y)=xln2 => 2-y>0 => y<2 Answer link Hubert May 21, 2015 The range of y=-2^x+2 is (-infty;2). I'd start from a known fact that a^x>0 for all a>0 and x in RR. So: 2^x>0 -2^x<0 -2^x+2<2 y<2 y in (-infty;2) Answer link Related questions What is the range of a function? What are some examples of range? How does the range of a function relate to its graph? What are common mistakes students make when working with range? How does the range of a function relate to its y-values? What is the range of a linear function? What is the range of a quadratic function? What is the range of a function like f(x)=5x^2? What is the range of a function like f(x) = sqrt (x-5)? How do I find the range of the function f(x)=10-x^2? See all questions in Range Impact of this question 6251 views around the world You can reuse this answer Creative Commons License