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).
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:
[tex]\rm f(x) =x\left(x^3-5x^2-4x+20\right)[/tex]
[tex]\rm f(x) =x\left(x-5\right)\left(x+2\right)\left(x-2\right)[/tex]
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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