What is the multiplicative rate of change for the exponential function graphed to the left?

Asked by maham237 @ 17/12/2020 in Mathematics viewed by 320 People

what is the multiplicative rate of change for the exponential function graphed to the left?

Answered by maham237 @ 17/12/2020

Answer:-The multiplicative rate of change for the exponential function =3

Explanation:-

The exponential function is given by $y=Ab^x$

, where A is the initial amount , b is the rate of growth and x is the time period.

From the given graph ,we can see points on the exponential curve.

For point (0,2), x=0 and y=2

Thus $y=Ab^x$

$\Rightarrow2=Ab^0\\\Rightarrow2=A(1)\\\Rightarrow\ A=2$

For point (1,6) , x=1 and y=6

$y=Ab^x$

$\Rightarrow6=2b^1\\\Rightarrow3=b\\\Rightarrow\ b=3$

OR we can see in the graph y is increasing 3 times the previous value.

Therefore, the multiplicative rate of change for the exponential function =3

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