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Exponential Functions

Exponential Functions 1.14 - Solution

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We want to write an exponential function for the graph by identifying two points.

Let's consider the general form for this type of function. Since we want the points to lie on the graph, they must satisfy this equation. Let's substitute and into the above formula. With this, we will have a system of two equations. Now, we will solve the system by using the Substitution Method. To do so, we will begin by isolating in Equation (II). Then, we will substitute it into Equation (I). Let's do it!
Solve for
Now that we found the value of we can find the value of by substituting in Equation (II).
Finally, we can write the equation of the exponential function.