Exponents and Exponential Functions Midterm Review

Master exponential functions! Review growth, decay, rates, initial values, equations, and exponent rules.

Growth and Decay Video Here is a video that reviews exponential growth and decay to help you on the problems below. How can we describe the difference between Exponential Growth and Exponential Decay? Exponential GROWTH increasesas you read the graph from left to right. The b value of the equation is larger than 1.Exponential DECAY decreasesas you read the graph from left to right. The b value of the equation is between 0 and 1. Which graph represent exponential growth? Which graph represent exponential decay? Is the following function growth or decay?y = 1.8 (0.45)x growth decay not an exponential function Growth and Decay Rates What is the growth rate of the equation below?y = 512 (1.04)x growth; 4% growth; 1.04% decay; 4% decay 0.4% What is the growth rate of the equation below?y = 42 (0.67)x growth; 67% growth; 33% decay; 67% decay; 33% What is the initial value of the exponential function below?f(x) = 203 (1.45)x 1.45 203 .45 1258 Writing Exponential Equations The value of a car depreciates each year by 17%. The initial cost of the car was $28,000. What will the car be worth in 3 years? $44,845.16 $137.56 $16,010.04 $19,289.20 Exponent Properties Match equivalent expressions. Simplify the expression using properties of exponents. Match it to the right side.