Question

consider the following function. (u(x)=\frac{2}{3}x) step 2 of 2: plot two points on the graph of this function, other than the origin. answer

Explanation:

Step1: Choose an \(x\) - value

Let \(x = 3\).

Step2: Calculate the corresponding \(y\) - value

Substitute \(x = 3\) into \(u(x)=\frac{2}{3}x\), then \(u(3)=\frac{2}{3}\times3 = 2\). So one point is \((3,2)\).

Step3: Choose another \(x\) - value

Let \(x=- 3\).

Step4: Calculate the corresponding \(y\) - value

Substitute \(x = - 3\) into \(u(x)=\frac{2}{3}x\), then \(u(-3)=\frac{2}{3}\times(-3)=-2\). So another point is \((-3,-2)\).

Answer:

Two points are \((3,2)\) and \((-3,-2)\)