9/2
Step-by-step explanation:
We have to find the multiplicative rate of change of the exponential function shown on the graph.
We know that a general exponential function is given as:
where b is the multiplicative rate of change.
Now when x=0 we have y=1.
i.e. 1=a
Hence, a=1
and y=b^x
Also,
the graph passes through (1,9/2)
Now when x=1 we have y=9/2
i.e.
9/2=b
Hence, the multiplicative rate of change is:
9/2
