10 questions · Form 2 Mathematics Bab 8: Graphs of Functions
10 questions · plays in fullscreen
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. 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.
2. If $f(x) = 5 - 2x$, find $x$ when $f(x) = 1$.
Answer: A
$1 = 5 - 2x \implies 2x = 4 \implies x = 2$.
3. Identify the degree of the independent variable $x$ in a cubic function.
Answer: A
A cubic function has an highest exponent (degree) of 3 for the variable $x$.
4. A line passes through $(0, 4)$ and $(2, 10)$. Which linear function matches this line?
Answer: A
Gradient $m = 10 - 42 - 0 = 62 = 3$. Y-intercept is 4. Equation is $y = 3x + 4$.
5. 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).
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 $y = 12x$, calculate $y$ when $x = -4$.
Answer: A
$y = 12-4 = -3$.
8. When scale on x-axis is 2 cm to 1 unit, what physical length represents 3 units?
Answer: A
$3 units × 2 cm/unit = 6 cm$.
9. Given $y = 3x - 5$, calculate the value of $y$ when $x = 4$.
Answer: A
$y = 3(4) - 5 = 12 - 5 = 7$.
10. 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.