Question:The table below represents an exponential function. Construct that function and then identify the corresponding growth or decay rate in percentage form. {eq}\begin{array}{ll} x & y \\ \hline 0 & 200 \\ 1 & 220\\ 2 & 242 \\ 3 & 266.2\\ \hline \end{array} {/eq} Creating Exponential Functions from Coordinate PointsRecall that the standard form of an exponential function is $$f(x) = ab^x $$ How might we generate such an equation if we are only given coordinate points that lie on the graph? Well there are two scenarios to consider. Case 1: One of the points we have been given is of the form {eq}(0,d) {/eq}.
Case 2: None of the points are of the form {eq}(0,d) {/eq}.
Answer and Explanation: 1Given that we have coordinate points that exist on the function we may use them to determine the equation. To begin let's recall that the base... See full answer below. Learn more about this topic:Exponential Growth: Definition & Examples from Chapter 6 / Lesson 10 What is the definition of exponential growth? Learn to distinguish between geometric vs. exponential growth. See examples of exponential growth curves. Related to this QuestionExplore our homework questions and answers library |