Which statement describes the graph of this polynomial function? f (x) = x^5-6x^4+9x^3

a. The graph crosses the x axis at x = 0 and touches the x axis at x = 3.

b. The graph touches the x axis at x = 0 and crosses the x axis at x = 3.

c. The graph crosses the x axis at x = 0 and touches the x axis at x = - 3.

d. The graph touches the x axis at x = 0 and crosses the x axis at x = - 3.

Question

Belen

Mathematics

14 November, 21:42

Which statement describes the graph of this polynomial function? f (x) = x^5-6x^4+9x^3

a. The graph crosses the x axis at x = 0 and touches the x axis at x = 3.

b. The graph touches the x axis at x = 0 and crosses the x axis at x = 3.

c. The graph crosses the x axis at x = 0 and touches the x axis at x = - 3.

d. The graph touches the x axis at x = 0 and crosses the x axis at x = - 3.

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Answers (1)

Know the Answer?

Bella · Answer 1

The answer is:

a. The graph crosses the x axis at x = 0 and touches the x axis at x = 3

You can answer this by plugging in values of 0, 3, and - 3 into the function. If the value is 0, it means it touches/crosses the x axis. To determine which on, function is differentiated and the values of 0, 3, and - 3 are plugged in. If the answer is 0, it means it, touches the x axis.