04.05 Graphing Exponential Functions.docx

04.05 Graphing Exponential Functions.docx - 04.05 Graphing...

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04.05 Graphing Exponential Functions PART 1: How can graphs be created from verbal expressions? Let’s say I was trying to solve a problem. I just got a new cat who loves to chase lizards. I am worried about the lizard population going too far down in my backyard and then being overrun by ants because there aren’t enough lizards to eat them. So, I want to measure how many lizards my cat catches per day in order to figure out what the population decline is. To do this, I would count the number of live lizards I can find and let’s say this is 200 and then I count the dead lizards my cat got at 10 per day and then write out an equation f(x)=200(1- .05) x . I know this is -.05 because 10/200 is 5% of the lizard population per day and it is a negative .05 because the population is decaying/declining. The x stands for the number of
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