iGCSE Mathematics (0580) - C2.10 Graphs of functions- Exam Style Questions Paper 3- New Syllabus
▶️ Answer/Explanation
(a)
Substitute the missing $x$ values into the formula to compute the $y$ values.
(b)
Plot the coordinated points on the grid and draw a smooth curve through them. Since it’s a reciprocal graph, there will be two disconnected curved branches.
✅ Answer: Correct smooth curves drawn passing through the calculated points.
(c)
To solve $\frac{12}{x} = 10$, look at where the graph reaches a y-value of $10$. Draw a horizontal line across from $y = 10$ to the curve and read down to the x-axis.
$x = 1.2$
✅ Answer: 1.2 (or a reading from 1.1 to 1.3 based on your drawn curve)
▶️ Answer/Explanation
(a)
We calculate the missing $y$-values by substituting each corresponding $x$-value into the quadratic function equation:
When $x = -3$: $y = (-3)^2 – 4 = 9 – 4 = 5$.
When $x = 0$: $y = (0)^2 – 4 = -4$.
When $x = 3$: $y = (3)^2 – 4 = 9 – 4 = 5$.
✅ Answer: 5, -4, 5
(b)
Plot all 9 coordinate points accurately onto the axes grid.
Connect these dots with a smooth, continuous, U-shaped parabola curve.
✅ Answer: [Smooth parabolic curve correctly plotted through all points]