Question

Let g be the piecewise defined function shown.


g(x)=

x + 4, −5 ≤ x ≤ −1

2 − x, −1 < x ≤ 5


Evaluate g at different values in its domain.

Answer 1

For this case we have the following function:
 $g(x) = \left \{ {{x+4} \atop {2-x}} \right.$
 For each of the domains we will choose a value.
 We have then:

 For −5 ≤ x ≤ −1
 Let's choose the value of x = -3 
 Evaluating the function we have:
 $g(x) = x+4 g(-3) = -3+4 g(-3) = 1$
 Answer:
 g(-3) = 1
 
 For −1 < x ≤ 5:
 Let's choose the value of x = 0
 Evaluating the function we have:
 $g(x) = 2-x g(0) = 2-0 g(0) = 2$
 Answer:
 g(0) = 2

Answer 2

Answer:

g(−4) = 0

g(−2) = 2

g(0) = 2

g(3) = -1

g(4) = -2

Step-by-step explanation: