document.write( "Question 611825: Find the range of the function y = -2^x + 2. \n" ); document.write( "

Algebra.Com's Answer #385177 by jsmallt9(3758) $\"\"$ $\"About$

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Let's start with the $\"2%5Ex\"$ . Once one has worked with exponents and logarithms enough, you learn that a power of 2 (or any other positive number number) can result in any positive number! What a power of 2 can't be is zero or negative. So the $\"2%5Ex\"$ part can have a value of any positive number.

\n" ); document.write( "The minus in front of the $\"2%5Ex\"$ turns all those positive numbers negative. So $\"-2%5Ex\"$ can result in any negative number. IOW, any number less than zero.

\n" ); document.write( "If you take all those numbers than zero and then add 2, you end up with all numbers less than 2. This is the range of your function: all numbers less than 2. \n" ); document.write( "

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