Question

Which statement correctly compares the two functions?

Answer 1

Answer:  Choice A.

They have the same y-intercept and the same end behavior as x approaches infinity.

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Explanation:

The graph shows that the y intercept is (0,2) as this is the location where the green curve crosses the vertical y axis.

The table also shows that (0,2) is on the g(x) curve. So the two functions have the same y intercept.

They don't have the same x intercept however, since the green curve's x intercept is at (-2,0) while the table shows (-1,0).

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As x approaches infinity, the y values go to infinity as well for the green curve. In other words, the graph goes up forever as we move to the right.

The table represents the same idea just in numeric form, rather than visual curve form. As x gets larger, so does y.