How do you find the range of $f(x)=5cos(x + pi) + 3$ ?

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Answer 1 · 2015-04-15T20:11:59

$cos(x+pi)$ has a range of $[-1,+1]$
(because $cos($ anything $)$ has a range of $[-1,+1]$ )

$5cos(x+pi)$ has a range of $[-5,+5]$

$f(x)=5cos(x+pi)+3 has a range of$ [-2,+8]#

How do you find the range of f(x)=5cos(x + pi) + 3f(x)=5cos(x + pi) + 3?