FAN AND MEDAL*** (HELP)
4)how do you find the zeros of a function by graphing? or, where are the zeros (solutions) of a function located on the graph of the function.
5) which do you prefer long division or synthetic division? why?
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this question does not make any sence to me, sorry
In other words, the zeroes of a polynomial function occur on which axis?
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idontknow @hero ;/
The zeroes of a function is the x-value that makes the function equal to zero. For example:
Suppose you have f(x) = 3x^2 + 6x. In order to find the zero for this, we would (starting with the vertex), continue plotting plotting points along the graph on either side of the x-axis and then approximate its value based on the graph. Then you'd keep approximating until you found the actual zero.
That's the graphing technique, however, its much easier to simply factor 3x^2 + 6x, set it equal to zero, and then use the product property rule to find the zeroes.
In this case,
3x^2 + 6x = 0
3x(x + 2) = 0
3x = 0
x + 2 = 0
x = 0
x = -2
So 0 and -2 are the zeroes of the function. Graphically, these zeroes occur on the x-axis.
When thinking about the zeroes of a function, the question you want to ask yourself is, "What is the value of x when f(x) equals zero?".