Alright so...
The exponential function of f with base a is denoted by f(x)=a^x where a>0, a does not equal 1, and x is any real number.
The graph y=a^x looks like a bananna with an asymptote of y=0; which it approaches on the left of the y-axis. It has a y-intercept of 1 and then to the right of that it starts growing real tall like a beanstalk.
If x is negative the graph is flipped across the y-axis. If the equation is negative it flips across the x-axis. A number added or to the exponent raises the y-intercept. A number added to the equation raises the horizontal asymptote. Subtraction has the opposite effect on the las two transformations. If you multiply a by a number it stretches or compresses the graph.
Also Compound Interest looks like this: Pe^r*t
e is the natural base
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