Which functions represent exponential growth?
y = f(x)
y = h(x)
y = g(x)
y = k(x)
Answer (2)
The problem asks to identify exponential growth functions among y=f(x), y=g(x), y=h(x), and y=k(x).
Exponential growth functions have the form y = a × b x with 1"> b > 1 .
Without explicit definitions, it's impossible to determine which functions represent exponential growth.
Therefore, we cannot determine the answer.
Explanation
Understanding the Problem We are asked to identify which of the given functions represent exponential growth. However, the functions y=f(x), y=g(x), y=h(x), and y=k(x) are not explicitly defined. Therefore, without knowing the specific equations or graphs of these functions, we cannot definitively determine which ones represent exponential growth.
Identifying Exponential Growth To determine if a function is exponential growth, we need to see its equation or graph. An exponential growth function has the general form y = a × b x , where a is the initial value and b is the growth factor, with 1"> b > 1 .
Conclusion Since we do not have the equations or graphs for the given functions, we cannot determine which ones represent exponential growth. Therefore, we cannot provide a specific answer.
Examples
Exponential growth is a pattern that shows up in many real-world situations, like the spread of a virus or the increase in population. For example, if a population of bacteria doubles every hour, this is exponential growth. Understanding exponential growth helps us make predictions about these phenomena.
Without specific definitions of the functions, we cannot identify which represent exponential growth, as such functions must be in the form y = a × b x where 1"> b > 1 . Therefore, we cannot provide a specific answer regarding the functions f(x), g(x), h(x), or k(x).
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