How do you graph $y = \frac{5}{x} + 4$ $y=5/x+4$ using asymptotes, intercepts, end behavior?

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How do you graph $y = \frac{5}{x} + 4$ $y=5/x+4$ using asymptotes, intercepts, end behavior?

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Answer 1 · 2018-02-12T16:25:35

enter image source here

Explanation:

We already know the graph of y=5/x and it's asymptotes are y axis and x axis
enter image source here

$(y - 4) = \frac{5}{x}$ $(y-4)=5/x$
This kinda reduces to $Y = \frac{5}{x}$ $Y=5/x$
here $Y = y - 4$ $Y=y-4$ i.e origin is shifted to (0,4).
Hence asymptotes will be be y axis and y=4
enter image source here

Further put y=0 to find the x intercept
x intercept = -5/4= -1.25

Thus graph becomes

enter image source here

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How do you graph $y = \frac{5}{x} + 4$ $y=5/x+4$ using asymptotes, intercepts, end behavior?

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