Determine the points of intersection of the function
With the X
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Determine the points of intersection of the function
With the X
In order to find the point of the intersection with the X-axis, we first need to establish that Y=0.
0 = (x-5)(x+5)
When we have an equation of this type, we know that one of these parentheses must be equal to 0, so we begin by checking the possible options.
x-5 = 0
x = 5
x+5 = 0
x = -5
That is, we have two points of intersection with the x-axis, when we discover their x points, and the y point is already known to us (0, as we placed it):
(5,0)(-5,0)
This is the solution!
The following function has been graphed below:
\( f(x)=-x^2+5x+6 \)
Calculate points A and B.
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