M143 Week 6 Worksheet This document has missin Worksheet Assignment Exponential Functions Directions: These activity questions are written to follow the activity for the week. After the weekly lecture class meetings, you should be able to answer these questions. Answer the questions, save the document, and submit the assignment to Canvas. 1. Graph the function g(x) = -3x + 1. a) What is its domain and range? Write the domain and range in interval notation? b) Does the graph of this function have an asymptote? Explain. If it does have an asymptote what is the asymptote? 2. The dollar value v(t) of a certain car model that is t years old is given by the following exponential function: V(t) = 26,000(0.95t) Find the initial value of the car and the value after 11 years. Round your answers to the nearest dollar as necessary. 3. If your calculator gives you the value 3.5781962 E -7, what value is this equivalent to? M143 Week 6 Worksheet 4. What is the x-intercept of the graph of y = 4.625e0.8124x? Explain.| 5. The table shows the amount of money in a savings account for 8 months. Month 1 2 3 4 5 6 7 8 Balance $620.00 | $761.88 | $899.80 | $1039.93 | $1270.63 | $1589.04 | $1851.31 | $2154.92 a) Create a scatterplot of your data. b) What is the domain of the data? c) What is the range of the data? d) What is a good window for your graph? Explain. e) What type of regression is best for this data? Justify your choice. f) Create an exponential regression for the data. g) What is the y-intercept of the graph of your regression equation? What does this mean in the context of the problem? h) How much money will be in the account after 15 months? Explain