Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - Chapter Review Exercises - Page 36: 11


Domain: {x: x$\geq$-1}, Range: {y: y$\geq0$}

Work Step by Step

The square root of negative numbers is not real. Therefore, x+1 should be equal to or greater than 0. $x+1\geq0$ $\implies x\geq-1$ The domain is the set of all possible input values of f. Domain of f: {x: x$\geq$-1} When we substitute the value of x, we get a y-value. The set of all resulting y-values is known as the range of the function. For $x\geq-1$, the value of y is always 0 or positive. That is, Range of f: {y: y$\geq0$}
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