Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 10 - Radical Functions and Equations - 10.1 - Graphing Square Root Functions - Exercises - Page 548: 2

Answer

No $\color{red}{ y=2x\sqrt{5}}$ is $\text{NOT}$ a Square root Function

Work Step by Step

$\text{Explanation:}$ A Function that includes a square root $\color {blue} {\surd} $ of an independent variable is known as $\color {red} {\text{Square Root Function}}$. $\text{For Example:}$ $y=\sqrt x$ Where $\color {red} {\surd} \Rightarrow $$\color {red} {\text{Square Root}}$ $\color {Green} {x} \Rightarrow $$\color {Green} {\text{Independent Variable}}$ So As per Definition: $ y=2 \color{red}x\sqrt{5}$ where $x$ is the variable which is $\text{NOT}$ under the Square Root Function, Therefore the Given Function $\color{blue}{ y=2x\sqrt{5}}$ is $\text{NOT}$ a $\color {red} {\text{Square Root Function}}$.
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