Which of the following graphs is a polynomial function with x-intercepts of (-3,0)(-1,0), and (2,0)?
2 answers:
The intercepts of the third degree polynomial corresponds to the zeros of the equation
y = d*(x-a)*(x-b)(x-c)
Where a, b and c are the roots of the polynomial and d an adjustment coefficient.
y = d*(x+2)*(x)*(x-3)
Lets assume d = 1, and we get
y = (x+2)*(x)*(x-3) = x^3 - x^2 - 6x
We graph the equation in the attached file.
y = d*(x-a)*(x-b)(x-c)
Where a, b and c are the roots of the polynomial and d an adjustment coefficient.
y = d*(x+2)*(x)*(x-3)
Lets assume d = 1, and we get
y = (x+2)*(x)*(x-3) = x^3 - x^2 - 6x
We graph the equation in the attached file.
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The range refers to the value of y for which x is define.
So let y=f(x),
Try making x the subject to obtain,
x is defined for all real values of y greater than
0.
Hence the correct answer is D.
So let y=f(x),
Try making x the subject to obtain,
x is defined for all real values of y greater than
0.
Hence the correct answer is D.