Which quadrants and axes does f(x)=x^3-sqrtx pass through?

1 Answer
A. S. Adikesavan
Apr 17, 2016

Passes through the origin. As x >=0 for sqrt x to be real, the graph prevails in the 1st and 4th quadrants only. It makes an intercept 1 on the x-axis, at (1, 0).

Explanation:

For x in (0, 1), we get the bottom point at ((1/6)^(2/5), -0.21), in the 4th quadrant. In the first quadrant, as x to oo, f(x) to oo...

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