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Problem-Solving and Data Analysis / Two-variable data: Models and scatterplots Difficulty: Easy

The graph of function $f$ is shown, where $y = f (x)$ .

Which of the following describes function $f$ ?

Increasing linear

Decreasing linear

Increasing exponential

Decreasing exponential

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Explanation

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 indicates 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.