Question

Which statement describes the graph of f(x) = -x4 + 3x3 + 10x2?
O
The graph crosses the x-axis at x = 0 and touches the x-axis at x = 5 and x = -2.
O The graph touches the x-axis at x = 0 and crosses the x-axis at x = 5 and x = -2.
O The graph crosses the x-axis at x = 0 and touches the x-axis at x = -5 and x = 2.
O The graph touches the x-axis at x = 0 and crosses the x-axis at x = -5 and x = 2.
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Answer 1

Answer:

The answer is B just took it on ed

Step-by-step explanation:

Answer 2

The statement that correctly describes the graph of f(x) = -x⁴ + 3x³ + 10x² is;

Option B: The graph touches the x-axis at x = 0 and crosses the x-axis at x = 5 and x = -2.

• We are given the function;

f(x) = -x⁴ + 3x³ + 10x²

• Now, let us find the y-intercept which is the point at which x = 0.

At x = 0, we have;

f(0); -(0⁴) + 3(0³) + 10(0²) = 0

This means that the graph will touch the x-axis at x = 0

• Now, to find the points, were the graph crosses the x-axis, we need to equate the function to zero to get;-x⁴ + 3x³ + 10x² = 0

• Using online polynomial roots calculator, the roots of the polynomial function are; x = 0, -2 and 5

• Thus, the graph will cross the x-axis at x = - 2 and x = 5.

Read more about intercept and roots of polynomial graphs at; https://brainly.com/question/11697358