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3. y = 25,000 x 0.25 x (Where a = 25,000 and b = 0.25) When b > 1, as in examples 1 and 2, the function represents exponential growth as in population growth. When 0 < b < 1, as in example 3, the function represents exponential decay as in radioactive decay. Some basic properties of exponential functions are: We have been given a graph which represents 4 exponential functions and we are asked to choose which functions represent exponential growth. Since we know that graph of an exponential growth function is always increasing. The rate of growth starts slow and increases rapidly as x increases. 3. y = 25,000 x 0.25 x (Where a = 25,000 and b = 0.25) When b > 1, as in examples 1 and 2, the function represents exponential growth as in population growth. When 0 < b < 1, as in example 3, the function represents exponential decay as in radioactive decay. Some basic properties of exponential functions are: