Finite Math Examples

Find the Exponential Function (5,-5)
Step 1
To find an exponential function, , containing the point, set in the function to the value of the point, and set to the value of the point.
Step 2
Solve the equation for .
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Step 2.1
Rewrite the equation as .
Step 2.2
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2.3
Simplify .
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Step 2.3.1
Rewrite as .
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Step 2.3.1.1
Rewrite as .
Step 2.3.1.2
Rewrite as .
Step 2.3.2
Pull terms out from under the radical.
Step 2.3.3
Rewrite as .
Step 3
Substitute each value for back into the function to find each possible exponential function.