9514 1404 393
Answer:
(b) -15
Step-by-step explanation:
The area under the curve from -5 to +5 can be divided into two trapezoids. The one from x=-5 to x=1 has an area of ...
A = 1/2(b1 +b2)h = 1/2(1 +6)(5) = 17.5
The one from x=1 to x=5 has an area of ...
A = 1/2(4 +3)(-1) = -3.5
So, the total area from x=-5 to x=+5 is 17.5 -3.5 = 14. This is the amount by which f(x) increases from f(-5) to f(5). That is ...
f(-5) +14 = -1
f(-5) = -15
