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Find exact input and output ranges

Find the range of values of xx and yy for the following curves:

(a) y=ln⁡(x−3)y=\ln(x-3).

(b) y=−3−xy=-\sqrt{3-x}.

(c) y=(x2+2)/(x+1)y=(x^2+2)/(x+1).

CJC · Lecture · Example 5

For the rational curve, regard the equation as a quadratic in x and require a nonnegative discriminant.

Read the worked solution