For each piecewise function, find the specified function values.

g(x)={x+4, for x<1
{8-x, for x>1
g(-4),g(0),g(1), and g(3)

What does the "{" mean in g(x)={x+4 and {8-x ?

It looks like g(1)is undefined.

as noted by drwls, one of your inequality signs should have been ≥ or ≤

As it stands, for x=1 the function is not defined.

when x = -4 or 0 use g(x) = x+4
when x = 3 use g(x) = 8-x

For the piecewise function, find the values g(-8), 8(3), and g(8).

g(x)={X+6,FOR X<=3
7-x, for x>3

To find the specified function values for the given piecewise function g(x), we need to evaluate the function at the given x-values.

1. To find g(-4):
Since -4 is less than 1, we use the first part of the piecewise function: g(x) = x + 4. Substitute x = -4:
g(-4) = (-4) + 4 = 0

2. To find g(0):
Again, 0 is less than 1, so we use the first part of the function: g(x) = x + 4. Substitute x = 0:
g(0) = (0) + 4 = 4

3. To find g(1):
At x = 1, we have a point of discontinuity between the two parts of the piecewise function. Here, we cannot use either the first or second part because it is not defined. In other words, g(1) is undefined.

4. To find g(3):
Since 3 is greater than 1, we use the second part of the function: g(x) = 8 - x. Substitute x = 3:
g(3) = 8 - 3 = 5

Therefore, the specified function values for the given piecewise function are:
g(-4) = 0
g(0) = 4
g(1) is undefined (or "does not exist")
g(3) = 5