# Question ac2e1

Apr 2, 2017

a) The given function

$f \left(x\right) = - \cos \left(\pi x\right) + 5$

As $- 1 \le \cos \left(\pi x\right) \le + 1$

So range of the function

$\left(5 - 1\right) \le f \left(x\right) \le \left(5 + 1\right)$

=>4<=f(x)<=(6#

b) No x-intercepts

c) The graph of this function reaches a maximum at (1,0) in [0,2]