What is the graph of
What values should you choose for x?
Choose values of x that divide nicely into 8. Make a table of points that are easy to graph.
Step 1 Make a table of values that includes positive and negative values of x.
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x | y |
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16 |
1 | 8 |
2 | 4 |
4 | 2 |
8 | 1 |
16 |
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Step 2 Graph the points.
Step 3 Connect the points with a smooth curve. x cannot be zero, so there is no y-intercept.
The numerator is never zero, so y is never 0.
There is no x-intercept.
The x-axis is a horizontal asymptote.
The y-axis is a vertical asymptote.
Knowing the asymptotes provides you with the basic shape of the graph.
The domain is the set of all real numbers except
The range is the set of all real numbers except
Each part of the graph of a reciprocal function is a branch. The branches of the parent function