Problem

uestion 3 of 16, Step 2 of 2 onsider the Tollowing tunction. \[ t(x)=-\frac{3 \sqrt[4]{x}}{10} \] Step 2 of 2 : Find two points on the graph of this function, other than the origin, that fit within the given $[-10,10]$ by $[-10,10]$ grid. Express each coordinate as an nteger or simplified fraction, or round to two decimal places as necessary.

Solution

Step 1 :Choose two values for \(x\), let's choose \(x=1\) and \(x=16\).

Step 2 :Calculate the corresponding \(t(x)\) values for each \(x\).

Step 3 :For \(x=1\), calculate \(t(1)=-\frac{3 \sqrt[4]{1}}{10}=-\frac{3}{10}=-0.3\). So, the point is \((1, -0.3)\).

Step 4 :For \(x=16\), calculate \(t(16)=-\frac{3 \sqrt[4]{16}}{10}=-\frac{3 \cdot 2}{10}=-0.6\). So, the point is \((16, -0.6)\).

Step 5 :\(\boxed{\text{Therefore, two points on the graph of this function that fit within the given [-10,10] by [-10,10] grid are (1, -0.3) and (16, -0.6).}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/ZhnIgZfCpO/

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