Answer:
C. Over the interval [–1, 0.5], the local minimum is 1.
Step-by-step explanation:
From the graph we observe the following:
1) x intercepts are two points.
ii) y intercept = 1
f(x) = y increases from x=-infinity to -1.3
y decreases from x=-1.3 to 0
Again y increases from x=0 to end of graph.
Hence in the interval for x as (-1.3, 1) f(x) has a minimum value of (0,1)
i.e. there is a minimum value of 1 when x =0
Since [-1,0.5] interval contains the minimum value 1 we find that
Option C is right answer.
There is a local minimum of 1 in the interval [-1,0.5]
