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svlad2 [7]
3 years ago
12

Can anyone help me out? Find a and b

Mathematics
1 answer:
Natali5045456 [20]3 years ago
8 0

If you look at your graph you see that there is a hole at x = 3. This results from a removeable discontinuity. That means that when we factor the numerator to (x-3)(x-1), that (x-3) cancels out between the numerator and denominator and a hole is what results from that cancelation. The other factor for the denominator is found where the vertical asymptote of the function is, which is found at x = -4. That means that the 2 factors for the denomonator are (x-3) and (x+4). When you FOIL those out, you get x^2+x-12. That means that a = 1 and b = -12

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Observe the graph below. This graph represents the scenario.

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