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On what part of the domain is y=2x used to define f(x)

On what part of the domain is y=2x used to define f(x)-example-1

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Notice that the line segment that passes through the point (0,0) has a slope of 2, while the line segment that passes through the point (5,3) has a slope of 1.

From the given linear equations, the function y=2x is the only one which has a slope of 2.

To find the domain in which the equation y=2x is used to define f(x), look at the values over the x-axis where the line segment lies.

Notice that the line segment with slope 2 ends at the value x=2 and it seems to keep going all the way to -∞. Then, the equation y=2x is used to define f(x) on the following part of the domain:


(-\infty,2)

W

User Patrick Gotthard
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