Describe the graph of y=12x−10−3
(1)/ (2x - 10) -3 compared to the graph of y=1/x
The graph of y=12x-10-3 is a straight line with a slope of 12. It intersects the y-axis at y=-13 and the x-axis at x=1. The graph increases as x increases.
On the other hand, the graph of y=1/x is a hyperbola. It has two asymptotes, one along the x-axis and one along the y-axis. It approaches but never reaches these asymptotes as x or y approach infinity. The graph is also symmetrical along the line y=x.
In conclusion, the two graphs are very different in shape and behavior. The first is a straight line while the second is a hyperbola.