SOLUTION: Sketch the graph of the function f(x)=(5/2)^x

Question 469420: Sketch the graph of the function f(x)=(5/2)^x
Answer by ccs2011(207) (Show Source): You can put this solution on YOUR website!
General exponential function:

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 > 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

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.

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