the function f is defined:

Question

f(x)= x+3 if -2<=x<1
9 if x=1
-x+2 if x>1
a. find the domain
b. locate the intercepts

I am totally lost, can someone please help me with this?

Answer 1

f(x0 = x+3 for -2 ≤ x < 1
f(x) = 9 , for x = 1
f(x) = -x+2 , for x > 1

strange graph.

I see a line segment from (-2,1) to (1,4) with a solid dot at (-2,1) (include the point) and an open dot at (1,4), exclude the point
The we have the isolated and lonely point (1,9) just sitting there all by itself.
then a ray starting at (1,1) (open dot, point not included)
with an x-intercept at (2,0) and dropping down into the fourth quadrant.

domain: x≥ -2
intercepts,
y-intercept at (0,3)
x-intercept at (2,0)