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# Goals for CMP3 Investigation 4

Exponential Functions Explore problem situations in which two or more variables have an exponential relationship to each other

• Identify situations that can be modeled with an exponential function
• Identify the pattern of change (growth/decay factor) between two variables that represent an exponential function in a situation, table, graph or equation
• Represent an exponential function with a table, graph or equation
• Make connections among the patterns of change in a table, graph and equation of an exponential function
• Compare the growth/decay rate and growth/decay factor for an exponential function and recognize the role each plays in an exponential situation
• Identify the growth/decay factor and initial value in problem situations, tables, graphs and equations that represent exponential functions
• Determine whether an exponential function represents a growth (increasing) or decay (decreasing) pattern, from an equation, table or graph that represents an exponential function
• Determine the values of the independent and dependent variables from a table, graph, or equations of an exponential function
• Use an expponential equation to describe the graph and table of an exponental function
• Predict the y-intercept from an equation, graph, or table that represents an exponential function
• Interpret the information that the y-intercept of an exponential function represents
• Determine the effects of the growth factor and initial value for an exponential function on a graph of the function
• Solve problems about exponential growth and decay from a variety of different subejct areas, including science and business, using an equation, table, or graph
• Observe that one exponential equation can model different contexts
• Compare exponential and linear functions