How do I find the range of the function y=-2^x+2

dripcima24

dripcima24

Answered question

2022-09-07

How do I find the range of the function y = 2 x + 2?

Answer & Explanation

Houston Ellis

Houston Ellis

Beginner2022-09-08Added 4 answers

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 ) = x ln 2
2 y > 0 y < 2
tun1ju2k1ki

tun1ju2k1ki

Beginner2022-09-09Added 2 answers

The range of y = 2 x + 2 is ( ; 2 )
I'd start from a known fact that a x > 0 for all a>0 and x R
So:
2 x > 0
2 x < 0
2 x + 2 < 2
y<2
y ( ; 2 )

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