Answer:
The correct option is C.
Step-by-step explanation:
If a₁,a₂,a₃,...,aₙ x-intercepts of a function, then the function is defined as
[tex]f(x)=a_0(x-a_1)(x-a_2)(x-a_3)...(x-a_n)[/tex]
Where a₀ is a constant.
From the given graph it is clear that the x-intercepts of the function are -1, 2 and 3. It means (x+1), (x-2) and (x-3) are factors of the required function.
[tex]y=a_0(x+1)(x-2)(x-3)[/tex]
The y-intercept of the function is (0,6). It means the equation must be satisfy by the point (0,6).
[tex]6=a_0(0+1)(0-2)(0-3)[/tex]
[tex]6=6a_0[/tex]
[tex]1=a_0[/tex]
The value of a₀ is 1. So, the required function is
[tex]y=1(x+1)(x-2)(x-3)[/tex]
[tex]y=(x+1)(x-2)(x-3)[/tex]
Therefore the correct option is C.
Answer: C
Step-by-step explanation:
it is y=(x+1)(x-3)(x-2)
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