SOLUTION: the general form of the constant function is : f(x)=a(x^0), where a is constant. So when the function passes by any point on the y-axis, the function will be :f(x)=a(0^0). Th

Question 628953: the general form of the constant function is : f(x)=a(x^0), where a is constant.
So when the function passes by any point on the y-axis, the function will be :f(x)=a(0^0).
This means there must be a hole in the point of intersection of the y-axis and the constant function on the graph because (0^0) is undefined.
So why don't we draw the hole on the Cartesian coordinate plane ?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the general form of the constant function is : f(x)=a(x^0), where a is constant.
So when the function passes by any point on the y-axis, the function will be :f(x)=a(0^0).
This means there must be a hole in the point of intersection of the y-axis and the constant function on the graph because (0^0) is undefined.
So why don't we draw the hole on the Cartesian coordinate plane ?
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Any number to the zero power is 1.
So f(x) = a(x^0) = a
The y-intercept is (0,a)
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Cheers,
Stan H.
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