Question

1. use the coordinate plane at the left to name the point(s) described.

(a) the points are on the negative \\(y\\)-axis.
(b) the \\(x\\)- and \\(y\\)-coordinates are the same.
(c) the \\(x\\)-coordinate is \\(-2\\).
(d) the \\(y\\)-coordinate is \\(0\\).

1. the current used by a \\(2\\ \omega\\) resistor produces the following powers:

\

$$\begin{tabular}{|c|c|c|c|c|c|c|} \\hline current, \\(i\\) & 0 & 2 & 4 & 6 & 8 & 10 \\\\ \\hline power, \\(p\\) & 0 & 2.8 & 4 & 4.9 & 5.7 & 6.3 \\\\ \\hline \\end{tabular}$$

plot the points in the table with \\(i\\) on the horizontal axis.

1. whats the error? a student was asked to plot the points \\(a(0, 2)\\) and \\(b(-4, 0)\\). the results are shown on the grid below.

explain the error that was made and how to correct it.

Explanation:

Identify points for Question 9

• (a) Points on the negative \(y\)-axis: \(E\) at \((0, -2)\), \(G\) at \((0, -4)\).
• (b) Points with identical \(x\)- and \(y\)-coordinates: \(H\) at \((1, 1)\).
• (c) Points with \(x\)-coordinate of \(-2\): \(C\) at \((-2, -1)\).
• (d) Points with \(y\)-coordinate of \(0\): \(D\) at \((-4, 0)\).

Identify coordinates for Question 10

• Coordinates \((I, P)\): \((0, 0)\), \((2, 2.8)\), \((4, 4)\), \((6, 4.9)\), \((8, 5.7)\), \((10, 6.3)\).

Analyze error in Question 11

• Point \(A(0, 2)\) is plotted correctly at \((0, 2)\).
• Point \(B(-4, 0)\) is incorrectly plotted at \((0, -4)\).
• The student reversed the \(x\)- and \(y\)-coordinates for point \(B\). To correct it, plot \(B\) on the \(x\)-axis at \((-4, 0)\).

Answer:

Question 9

(a) \(E, G\)
(b) \(H\)
(c) \(C\)
(d) \(D\)

Question 10

The points to plot are:

$$(0, 0), (2, 2.8), (4, 4), (6, 4.9), (8, 5.7), (10, 6.3)$$

Question 11

The student incorrectly plotted point \(B(-4, 0)\) at \((0, -4)\) by reversing the \(x\)- and \(y\)-coordinates. To correct the error, point \(B\) should be plotted on the horizontal \(x\)-axis at \(-4\), which is the point \((-4, 0)\).