By analyzing the end behavior of the graphed function, we conclude that the graphed function is an exponential one.
Which type of function is f(x)?
On the graph, we can see that as the independent variable (the one in the horizontal axis) tends to large negative values, the dependent variable (the one in the vertical axis) tends to zero.
And, as the independent variable increases in the positive domain, also does the dependent variable. So we have an increasing function
Finally, we can see that the range (set of the outputs) of the function is the set of values larger than zero.
These 3 are characteristics of exponential functions, so we conclude that the graphed function is an exponential one, thus the correct option is the first one.
If you want to learn more about exponential functions:
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