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Triss [41]
3 years ago
6

Describe the graph of the function f(x) = x3 − 15x2 68x − 96. Include the y-intercept, x-intercepts, and the shape of the graph

Mathematics
1 answer:
solong [7]3 years ago
5 0
So this would be a cubic graph because the largest exponent is a 3.

The Y-intercepts can be found by making all the x's equal 0, so then that would end up being -96 (makes sense considering a cubic graph intercepts at the origin, and this graph moves it down 96 units.

The X-intercepts (the zeros) are a bit tricky. We know that there will likely be three zeros because the exponent is a three. The zeros for this graph are 3, 4, and 8

So in Summary:

This is a Cubic graph with X-intercepts at (3,0), (4,0) and (8,0) and with Y-intercept at (0,-96)
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