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

1 answer:

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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<h3>Right angle triangle</h3>

Right angle triangle has one of its angles as 90 degrees. The side and angles can be found using trigonometric ratios.

Therefore, let's find the base of the triangle with 30 degrees.

sin 30° = opposite / hypotenuse

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Let's use the value(14 ft) to find the height of the biggest triangle.