Graph each function; identify the domain and range; and compare to the graph of y=1/x.1. y=-10/x

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embizze | High School Teacher | (Level 1) Educator Emeritus

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To graph you could create a table of values yielding some points on the graph:(-4,2.5),(-3,10/3),(-2,5),(-1,10),(1,-10),(2,-5),(3,-10/3),(4,-2.5)

At zero we are dividing by zero, so there is a vertical asymptote at x=0.

Plotting the points we get:

Compare to y=1/x (graphed in red as dotted curve.)

There has been a reflection across the x-axis and a vertical stretch of factor 10. (The point (1,1) from y=1/x goes to (1,-10) in y=-10/x -- reflect 1 across the x-axis to -1, then multiply by 10 to get -10)

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