The graph of function f is shown, where y = f x . The line slants gradually up from left

Question

The graph of function f is shown, where y = f x . The line slants gradually up from left to right. The line passes through the following points: (negative 6 comma negative StartFraction 16 Over 5 EndFraction) (0 comma 0) (6 comma StartFraction 16 Over 5 EndFraction) Which of the following describes function f ?

Accepted Answer

Choice A is correct. The graph of function f shows that as x increases, f x also increases, which means f x is an increasing function. The graph of f is a line, which indies a constant rate of change. A function that has a constant rate of change is a linear function. Therefore, function f can be described as increasing linear. Choice B is incorrect. For a decreasing function, as x increases, f x decreases, rather than increases. Choice C is incorrect. For a decreasing function, as x increases, f x decreases, rather than increases, and the graph of an exponential function isn't a line. Choice D is incorrect. The graph of an exponential function isn't a line.

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