Which graph best represents the function f(x) = 2(0.6)^x, showing the time Peter took to make custard after he had made it x times?

Answer:

Graph A: Decreasing curve

explaination:

The function f(x) = 2(0.6)^x is an example of an exponential decay function. In this function, the base of the exponent (0.6) is less than 1, which indicates that as the value of x increases (representing the number of times Peter made custard), the value of f(x) decreases. This means that the time taken to make custard decreases with practice. Therefore, the graph that best represents this function will start at a higher value when x is 0 and will gradually decrease as x increases, showing a smooth, downward curve. The correct choice is the graph that illustrates this decreasing trend.

Topic: Mathematics, Exponential Functions

Tags: exponential decay functions graphing mathematics

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Which graph best represents the function f(x) = 2(0.6)^x, showing the time Peter took to make custard after he had made it x times?

Question:

Choices:

Answer:

explaination: