Find the slope of the tangent line to the graph of the given function at any point:
1. f(x)= 13
I understand that you said the tangent to the line is the coefficient of x, but what would be the slope of this problem. For problems like this are there specific steps to take?
Yes, think of
f(x)=0*x + 13
For the given function f(x) = 13, the graph of the function is a horizontal line passing through y = 13. In this case, there is no variable x involved, so the slope of the tangent line is zero.
To understand why the slope is zero, we can consider the definition of the slope. Slope is the measure of how steep a line is, calculated as the change in y divided by the change in x. In this case, since the line is horizontal, it does not have any change in y; it remains at a constant value of 13. Therefore, any change in x will not cause a change in y, and the slope is zero.
If you encounter a problem similar to this one, where the function is a constant value, you can conclude that the slope of the tangent line will always be zero.