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In the graph below, f(x) is a linear function, and g(x) is an exponential function. Which statement best explains the behavior of the graphs of the function as x increases?-f(x) eventually exceeds g(x) because the rate of change of f(x) decreases as x increases, whereas the rate of change of g(x) is constant-f(x) eventually exceeds g(x) because the rate of changr of g(x) decreases as x increases, whereas the rate of change of f(x) is constant-g(x) eventually exceeds f(x) because the rate of changr of f(x) decreases as x increases, whereas the rate of change of g(x) is constant-g(x) eventually exceeds f(x) because the rate of changr of g(x) increases as x increases, whereas the rate of change of f(x) is constant

In the graph below, f(x) is a linear function, and g(x) is an exponential function-example-1

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Solution

The answer is

g(x) eventually exceeds f(x) because the rate of change of g(x) increases as x increases, whereas the rate of change of f(x) is constant

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