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Im confused on how to make the table and plug the dots while also describing both behaviors on this equation.

Im confused on how to make the table and plug the dots while also describing both-example-1

1 Answer

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Here, we want to complete the table

To do this, we consider points on the plot

From what we have;

We are told that a graph of an exponential function does not cross the x-axis and thus, y cannot be zero

When x =0, y = 1

When x = 1, y = 2

when x = 2, y = 4

The y-intercept is the value of y when x = 0; it is the point at which the graph crosses the y-axis

What we have here is that wehn x = 0, y = 1

Hence, 1 is the y-intercept

Now, let us take a look at the end behavior

We can obtain this from the graph;

As x moves towards infinity, the y value moves towards infinity too as evident from the upward curve of the graph

As x moves toward negative infinity, y moves closer to zero

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