4.1 Exponential Functions I can write an exponential equation from an application problem I can use an exponential equation to solve a problem.

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4.1 Exponential Functions I can write an exponential equation from an application problem I can use an exponential equation to solve a problem.

X F(X) Is this function linear? Graph it on a scatter plot to check. For a table of values of data that gives y as a function of x and which Δx is constant: If the difference of consecutive y-values is constant, the table could represent a linear function. If the ratio of consecutive y-values is constant, the table could represent an exponential function.

Exponential Equations

Turtle Example At t=0, turtles are released into the wetlands. When t=4, biologists estimate 300 turtles. Three years later, they estimate 450 turtles. Let P represent the population and t the years. 1.Find a formula for P(t) assuming linear growth. 2.Find a formula for g(t) assuming exponential growth. 3.Which is greater when t=12? Even slow exponential growth will eventually pass linear growth. Find when g(x) = 1000.

Homework p. 117: 2, 8, 14, 15, 20, 22, 23, 29