Observe the graph given below and answer the question that follows. Statement 1: increases in and…
Observe the graph given below and answer the question that follows.
Statement 1: $f(x)$ increases in $(-\infty, -1)$ and $(1, \infty)$
Statement 2: $f(x)$ decreases in $(-\infty, 0)$ and $(1, \infty)$
Which one of the following is correct?
- aStatement 1 is true and Statement 2 is false.
- bStatement 2 is true and Statement 1 is false.
- cBoth the statements are true.
- dBoth the statements are false.
Answer
Answer
AIWritten by AI (gemini-2.5-pro) - it can contain mistakes.
Correct option: d
Answer: (d) Both the statements are false.
From the graph, on $(-\infty, -1)$ the curve falls as $x$ increases, so $f(x)$ decreases, which makes Statement 1 false. On $(-1, 0)$ the curve rises as $x$ increases, so $f(x)$ is not decreasing on $(-\infty, 0)$, which makes Statement 2 false.
From ISC 2026 Mathematics Paper 1, question 1(viii).