# How would you graph f(x) if f(x)={ (x^2-1, x < -2), (4, -2 <= x <= 1), (3x+1, 1 < x <= 3), (x^2-1, x > 1) :}? How would you evaluate the function at the indicated points: f(-3), f(-2), f(5), f(3)?

Jun 3, 2017

I may be wrong but the last domain should be $x > 3$...I think

#### Explanation:

I got this:

with:
$f \left(- 3\right) = {\left(- 3\right)}^{2} - 1 = 8$
$f \left(- 2\right) = 4$
$f \left(5\right) = {\left(5\right)}^{2} - 1 = 24$
$f \left(3\right) = 3 \cdot 3 + 1 = 10$

or: