حل السؤال 15، 4MA1/2H يونيو 2021: رسم المنحنيات من جدول القيم

1. 1y = x + 4/x, so substitute each missing x value.
2. 2When x = 0.5, y = 0.5 + 4 ÷ 0.5 = 0.5 + 8 = 8.5
3. 3When x = 1, y = 1 + 4 ÷ 1 = 1 + 4 = 5
4. 4When x = 2, y = 2 + 4 ÷ 2 = 2 + 2 = 4
5. 5When x = 4, y = 4 + 4 ÷ 4 = 4 + 1 = 5
6. 6The missing values are 8.5, 5, 4, 5

Answer8.5, 5, 4, 5

1. 1The completed table is x = 0.25, 0.5, 1, 2, 4, 8 with y = 16.25, 8.5, 5, 4, 5, 8.5
2. 2Plot (0.25, 16.25), (0.5, 8.5), (1, 5), (2, 4), (4, 5) and (8, 8.5)
3. 3Join them with a single smooth curve from x = 0.25 to x = 8
4. 4The curve falls steeply, reaches its lowest point at (2, 4), then rises again

AnswerA smooth curve through (0.25, 16.25), (0.5, 8.5), (1, 5), (2, 4), (4, 5) and (8, 8.5), falling to a lowest point at (2, 4) then rising