10 questions · Form 2 Mathematics Bab 8: Graphs of Functions
When scale on x-axis is 2 cm to 1 unit, what physical length represents 3 units?
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. When scale on x-axis is 2 cm to 1 unit, what physical length represents 3 units?
Answer: A
$3 units × 2 cm/unit = 6 cm$.
2. Which relation is NOT a function?
Answer: A
A One-to-Many relation is not a function because one input value produces multiple output values.
3. Which equation represents a linear function?
Answer: A
A linear function has a highest power of $x$ equal to 1, forming a straight line graph.
4. What is the shape of the graph of a quadratic function $y = ax2 + bx + c$ when $a > 0$?
Answer: A
When the coefficient of $x2$ ($a$) is positive, the quadratic graph opens upwards (U-shape).
5. If $y = 2^x$, calculate the value of $y$ when $x = 3$.
Answer: A
$y = 23 = 8$.
6. Given $y = -x2 + 5$, what is the maximum value of $y$?
Answer: A
Since $-x2 ≤ 0$ for all real numbers, the maximum value occurs at $x = 0$, giving $y = 5$.
7. Given the cubic function $y = x3 - 2$, find the value of $y$ when $x = 2$.
Answer: A
$y = (2)3 - 2 = 8 - 2 = 6$.
8. Find the value of $x$ where the graph of $y = 4 - x$ intersects the x-axis.
Answer: A
At the x-axis, $y = 0 \implies 0 = 4 - x \implies x = 4$.
9. Given $y = 2x3$, find $y$ when $x = -2$.
Answer: A
$y = 2(-2)3 = 2(-8) = -16$.
10. Which point lies on the graph of $y = 2x2 + 3$?
Answer: A
For $x = 2$: $y = 2(2)2 + 3 = 2(4) + 3 = 11$. Thus, (2, 11) lies on the graph.