Question

Find the factors of function f. Based on the factors, which statement is true about the graph of function f? A. The graph crosses the x-axis at the point . B. The graph crosses the x-axis at the point . C. The graph crosses the x-axis at the point . D. The graph crosses the x-axis at the point .

Answer 1

The option (D) the graph crosses the x-axis at the point (2, 0) is correct because the graph crosses x-axis at points (0, 0), (5, 0), (-2, 0), and (2, 0).

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The correct question is in the picture please refer to the attached picture.

We have a function:

f(x) = x⁴ - 5x³ - 4x² + 20x

By using factorization method:

$\rm f(x) =x\left(x^3-5x^2-4x+20\right)$

$\rm f(x) =x\left(x-5\right)\left(x+2\right)\left(x-2\right)$

By using zero product rule:

x = 0

x = 5

x = -2

x = 2

The graph crosses the x-axis at points (0, 0), (5, 0), (-2, 0), and (2, 0)

Thus, the option (D) the graph crosses the x-axis at the point (2, 0) is correct because the graph crosses the x-axis at points (0, 0), (5, 0), (-2, 0), and (2, 0).

Learn more about the function here:

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