I’ve been thinking that in order for the slope to be larger than the function value, the increment in x has to be a fraction.
This is because when calculating the change in y, we do y2 - y1, and by subtracting y1, it always becomes smaller than y2 (the function value).
However, in the video, The teacher said that for the 3^d graph, the slope is larger than the function value at every point.
Is this true even when the increment in x is a whole number? I might be starting from the wrong premise.