Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - 10-5 Graphing Square Root Functions - Practice and Problem-Solving Exercises - Page 630: 45

Answer

see graph
1551026316

Work Step by Step

The computations below show some of the values of $x$ and $f(x)$ in the given equation, $ f(x)=4\sqrt{x} .$ If $x=-1,$ then \begin{array}{l}\require{cancel} f(x)=4\sqrt{-1} \\ f(x)=\text{not a real number} \\\text{(*Note that the square root of negative numbers are imaginary numbers)} .\end{array} If $x=0,$ then \begin{array}{l}\require{cancel} f(x)=4\sqrt{0} \\ f(x)=4(0) \\ f(x)=0 .\end{array} If $x=1,$ then \begin{array}{l}\require{cancel} f(x)=4\sqrt{1} \\ f(x)=4(1) \\ f(x)=4 .\end{array} If $x=4,$ then \begin{array}{l}\require{cancel} f(x)=4\sqrt{4} \\ f(x)=4(2) \\ f(x)=8 .\end{array} If $x=9,$ then \begin{array}{l}\require{cancel} f(x)=4\sqrt{9} \\ f(x)=4(3) \\ f(x)=12 .\end{array} Using the table of values below, the graph of the given function is shown.
Small 1551026316
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