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

$\cos \left(x + \pi\right)$ has a range of $\left[- 1 , + 1\right]$
(because cos(anything) has a range of $\left[- 1 , + 1\right]$)
$5 \cos \left(x + \pi\right)$ has a range of $\left[- 5 , + 5\right]$
$f \left(x\right) = 5 \cos \left(x + \pi\right) + 3 h a s a r a n \ge o f$[-2,+8]#