Let
f(x) = ax + 3 if x > 0
f(x) = ab if x = 0
f(x) = bx + c if x < 0
If f(2) = 5, f(0) = 2, and f(-2) = 0, and a, b, and c are nonnegative integers, then what is a + b + c?
+80 Let
f(x) = ax + 3 if x > 0
f(x) = ab if x = 0
f(x) = bx + c if x < 0
f(2) = 5
we plug that into the first one beacuse x is gerater than 0...
2a+3 = 5
2a = 2
a = 1
f(0) = 2
we plug this one into the second one beacuse x is equal to 0...
ab = 2
1b = 2
b = 2
f(-2) = 0
we plug this into the third one beacuse x is less than zero...
bx + c = 0
2x + c = 0
-4 + c = 0
c = 4
since the problem is asking for a + b + c.....
a+ b + c = 1 + 2 + 4 = 7
a + b + c = 7
