The population of a town is increasing by 2% per year. The current population of the town is 11 568.  a) Write an exponential function to model the population remaining, P, after t years. Graph the function. Explain. b) States the transformations in your exponential function.  c) Use your equation to determine the population remaining after 5 years.

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Q: What is the exponential function?

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Q: Give an example of the Exponential Behavior?

A: x 1 2 3 4 5 6 7 8 9 y 2 4 8 16 32 64 128 256 512

Q: Can you please identify the domain and range of this exponential function?

A: Given:

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Q: 14. Set up and solve an equation to evaluate log, ().

A: Given logg13=?we know thatlogabc=c logablogambh=hmlogab , logaa=1

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Q: Convert this geometric equation to an exponential function. In = 10 - 2"-1

A: The standard equation of exponential function is given below: Use Quotient rule of exponent.

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Q: find a formula for the exponential function whose graph is below: (0,18 (2, 8)

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Q: Find a formula for the exponential function passing through the points (-1,4343) and (3,108)

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Q: What is an exponential equation?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.