2.The graphs of ๐ฆ = 2๐ฅ and ๐ฆ = ๐ฅ2 are shown here:
Identify two major differences in behavior between these graphs.
Two major differences in behavior between the graphs of ๐ฆ = 2๐ฅ and ๐ฆ = ๐ฅ^2 are:
1. Shape: The graph of ๐ฆ = 2๐ฅ is a straight line with a constant slope of 2. On the other hand, the graph of ๐ฆ = ๐ฅ^2 is a parabola with the vertex at the origin and opening upwards.
2. Symmetry: The graph of ๐ฆ = 2๐ฅ is symmetric with respect to the y-axis, meaning that it is unchanged if you flip it across the y-axis. The graph of ๐ฆ = ๐ฅ^2, however, is symmetric with respect to the x-axis, meaning that it is unchanged if you flip it across the x-axis.