The zeros of the function are the values of x for which y=0.
To find the zeros, we set y equal to zero and solve for x:
0=(x+3)(x-5)(x-6)
This equation is satisfied when any of the factors (x+3), (x-5), or (x-6) equals zero.
Setting (x+3) equal to zero, we get:
x+3=0
x=-3
Setting (x-5) equal to zero, we get:
x-5=0
x=5
Setting (x-6) equal to zero, we get:
x-6=0
x=6
Therefore, the zeros of the function are x=-3, x=5, and x=6.
To graph the function, we plot the points (-3,0), (5,0), and (6,0) on a coordinate plane and then sketch a curve that passes through these three points. The graph will be a cubic function with x-intercepts at -3, 5, and 6.
Find the zeros of the function. Then graph the function.
y=(x+3)(x-5)(x-6)
The zero(s) of the function are_____
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