10 questions · Form 2 Mathematics Bab 8: Graphs of Functions
If $y = 2^x$, calculate the value of $y$ when $x = 3$.
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. If $y = 2^x$, calculate the value of $y$ when $x = 3$.
Answer: A
$y = 23 = 8$.
2. 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 $y = 3x + 4$.
3. 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 $y = 5$.
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. Given $y = 2x3$, find $y$ when $x = -2$.
Answer: A
$y = 2(-2)3 = 2(-8) = -16$.
6. What type of function produces a reciprocal graph (hyperbola)?
Answer: A
Reciprocal functions in the form $y = ax$ form hyperbolic curved branches.
7. Which of the following types of relations represents a function?
Answer: A
Functions are relations where each input maps to exactly one output (One-to-One or Many-to-One).
8. The graph of $y = 6x$ passes through $(k, 2)$. Find the value of $k$.
Answer: A
$2 = 6k \implies 2k = 6 \implies k = 3$.
9. Find the value of $x$ where the graph of $y = 4 - x$ intersects the x-axis.
Answer: A
At the x-axis, $y = 0 \implies 0 = 4 - x \implies x = 4$.
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.