Question

i) complete the table and then graph the function.
$y = \frac{1}{2}x + 4$

x	y
6
10

i) click to select points on the graph.

Explanation:

Step1: Substitute x = 4 into the function

We have the function \( y = \frac{1}{2}x + 4 \). When \( x = 4 \), we calculate \( y \) as follows:
\( y=\frac{1}{2}\times4 + 4=2 + 4 = 6 \)

Step2: Substitute x = 6 into the function

When \( x = 6 \),
\( y=\frac{1}{2}\times6 + 4=3 + 4 = 7 \)

Step3: Substitute x = 10 into the function

When \( x = 10 \),
\( y=\frac{1}{2}\times10 + 4=5 + 4 = 9 \)

Answer:

For \( x = 4 \), \( y = 6 \); for \( x = 6 \), \( y = 7 \); for \( x = 10 \), \( y = 9 \)

The completed table is:

\( x \)	\( y \)
6	7
10	9

To graph the function, plot the points \((4, 6)\), \((6, 7)\), and \((10, 9)\) on the coordinate plane and draw a straight line through them (since it's a linear function).