Y=0 would be a horizontal line. An asymptote is a line that a function approaches, but never reaches. Exponential functions such as these are a smooth curve. If both numbers are positive numbers greater than or equal to 1, the curve increases. If at least one of the numbers is a positive number between 0 and 1, the curve decreases. If <em>a</em> is a negative number, the curve decreases as well. If either <em>a</em> or <em>b</em> is zero, then the graph would stay constant at 0. However, as long as neither <em>a</em> nor <em>b</em> is zero, then this graph will never touch that point. The only way to get an answer of y=0 is to multiply by 0. If neither <em>a</em> nor <em>b</em> is zero, this won't happen.
This is a 20% increase. If we divvy up the 25 into 5 groups, we can say that each group is 20%. since we added another group of 5, we can go off of our known values and say that this was a 20% increase.
