Question 469420
General exponential function:
{{{y = b^x}}}
If b > 1, its an increasing function and y>0 for all x
In this case b = 5/2 , so it is an increasing function.
To graph this you need 3 things:
- horizontal asymptote
- y-intercept
- Additional Point 
For any graph of the form {{{y=b^x}}}, y > 0 for all x
Therefore asymptote is at y=0
To find y-intercept, set x = 0. Anything to zero power equals 1
Therefore y-intercept is 1
For additional point, pick an x-value, i suggest x=1
{{{y = (5/2)^1 = 5/2}}}
Ok plot the 2 points, (0,1) and (1,5/2) and draw curved line through the points such that it doesn't cross x-axis.
{{{graph(200,200,-3,3,-1,8,2.5^x)}}}