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Help i need the answer quick ​-example-1

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1 vote

Answer:

First and Third

Explanation:

The graphs obey the function equations but the intervals are marked incorrect in #s 2 and 4

One thing to keep in mind is that when you have a piecewise function valid on certain intervals, the circle shape denoting the beginning of the interval is very important

If it is a filled circle it denotes a ≤ (or ≥) inequality

If it is an unfilled (hollow) circle it denotes a < (or >) inequality

Looking at the second graph we see that

f(x) = -1 for -∞ < x < -1
Assuming the interval is correctly defined, that solid circle at x = -1, y = -1 should be a hollow circle not a filled circle

Similarly for f(x) = 3x² + 3, the interval is given as -1 ≤ x < ∞ but the starting circle for this interval is an unfilled circle, it should be a filled circle

A similar situation applies to the fourth choice and you should be able to figure that out yourself

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User Greg Ferreri
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