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