# If f(x)=3x if x<0, x+1 if 0≤ x≤ 2, and (x-2)^2 if x>2, how do you find f(-5)?

##### 1 Answer
Jan 20, 2017

$f \left(- 5\right) = - 15.$

#### Explanation:

To find $f \left(- 5\right)$, we have to plug in $x = - 5$ in the formula for $f \left(x\right)$

Since, $x = - 5 < 0 ,$ we have to use the formula

$f \left(x\right) = 3 x \text{ with } x = - 5$

Therefore, $f \left(- 5\right) = 3 \left(- 5\right) = - 15$.