`y=-6/x+4` Graph the function. State the domain and range.

We are asked to graph the function `y=-6/x+4 ` :

Note that this is a transformation of the graph of y=1/x with a translation of 4 units up, a reflection over the horizontal axis, and a vertical dilation of factor 6.

There is a vertical asymptote at x=0, and a horizontal asymptote at y=4. The x-intercept is at 3/2.

The graph:

Comments

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