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Find a formula for an exponential function y=f(x)  whose graph contains the points (-10,36) and (5,9).

Question

Find a formula for an exponential function y=f(x)  whose graph contains the points (-10,36) and (5,9). 

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Step 1

The general form of the exponential function is:

y ab*
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y ab*

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Step 2

Since, (-10, 36) and (5, 9) lies on the graph. So it must satisfy the given function that is:

y = ab
(-10,36) will satisfy the equation
36=ab-10
a
36
610
36b10-.1)
= a
also (5,9) will satisfy the equation
9=ab
9
...2)
b
5
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y = ab (-10,36) will satisfy the equation 36=ab-10 a 36 610 36b10-.1) = a also (5,9) will satisfy the equation 9=ab 9 ...2) b 5

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Step 3

Now, solve the equation (1) and (2) to get the con...

9
36b10
9
(610)(6)=
36
1
4
b 0.911722
a a
ON
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9 36b10 9 (610)(6)= 36 1 4 b 0.911722 a a ON

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