If the values of x and function are (0,3),(2,1),(4,0),(5,-2) then the factor of function may be (x-3) which is option c.
Function is relationship between two or more that are variables expressed in equal to form. In a function each value of x must have a corresponding value of y.
We have been given values of x and corresponding values of function. Take two points and form equation.
Equation from two points can be calculated by following formula:
[tex](y-y_{1}) =(y_{2} -y_{1} /x_{2} -x_{1} )(x-x_{1} )[/tex]
where [tex](x_{1} ,y_{1} ),(x_{2} ,y_{2} )[/tex] are the two points.
Equation is as under:
y-3=(1-3/2-0)*(x-0)
y-3=-2/2(x)
y-3=-x
y=-x+3
y=-1(x-3)
There are two factors of the function -1 and (x-3).
Hence if the values of x and function are (0,3),(2,1),(4,0),(5,-2) then the factor of function may be (x-3) which is option c.
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