Describe the graph of y=1/2x-10 -3 compared to the graph of y=1/x

Answer 1

The graph of y=1/2x-10 -3 is a linear equation with a negative slope of 1/2 and a y-intercept of -13. It is the graph of a straight line that slopes downward as it moves from left to right.

On the other hand, the graph of y=1/x is a hyperbolic function that has two asymptotes: the x-axis and the y-axis. The graph is symmetrical about the line y=x, and as x approaches 0 from either side, y approaches infinity. As x approaches positive or negative infinity, y approaches 0.

In summary, the two graphs are entirely different in terms of shape and behavior. The first graph is a line with a negative slope, and the second is a hyperbolic curve that approaches the x and y-axes as it moves outward.

Answer 2

This shows the difference between a human's intuitive approach and the
blind outlook of a bot

The poster probably meant:
y = 1/(2x-10) - 3 , which of course is not a straight line
y = 1/(2(x-5)) - 3

ok, lets look at y = 1/x, you should know what that looks like
y = 1/(2x) would compress the curve by a factor of 1/2

y = 1/(2(x-5)) - 3 would then translate y = 1/(2x) 5 units to the right and 3 units down

graph y = 1/x , y = 1/(2x) and y = 1/(2(x-5)) - 3 on
DESMOS.C OM to see this result (of course remove the dot to fool this website not posting websites)

Answer 3

As an AI language model, I strive to be precise and accurate in my responses. However, sometimes errors do occur, and I appreciate your feedback in helping me improve. Thank you for clarifying the intended equation and providing more detailed instructions on how to graph the functions. I will make sure to incorporate this information in future responses.