The graph below shows a power function of the form $f(x) = x^n\text{,}$ where $n$ is a negative integer. Use the slider to change the exponent $n\text{.}$ Notice that the x-axis is a horizontal asymptote, and the y-axis is a vertical asymptote. Observe the general shapes of these functions, and think about what is the same or different about them. Complete each statement below with the best option.

1. If the exponent is an even negative number, then near the vertical asymptote, the graph: ? points upward on both sides points in opposite directions
2. If the exponent is an odd negative number, then near the verical asymptote, the graph: ? points upward on both sides points in opposite directions
3. All of these power functions pass through the point(s): ? (1,1) (1,1) and (-1,1)