A jump: LHL ≠ RHL at x = 0छलाँग: x = 0 पर LHL ≠ RHLJump: x = 0 par LHL ≠ RHL

NCERT Fig 5.1 · Class 12 Maths · Chapter 5 · interactive diagram

Parts and what they mean

• x-axis (x-अक्ष) — The horizontal number line; inputs x are read here.
• y-axis (y-अक्ष) — The vertical number line; outputs y = f(x) are read here.
• Origin O(0, 0) (मूल बिंदु O(0, 0)) — Where the two axes cross.
• Left piece f(x) = 1, x \le 0 (बायाँ भाग f(x) = 1, x \le 0) — At -0.1, -0.01, -0.001 the value is 1.
• Right piece f(x) = 2, x > 0 (दायाँ भाग f(x) = 2, x > 0) — At 0.1, 0.01, 0.001 the value is 2.
• Left hand limit = value = 1 (बाएँ पक्ष की सीमा = मान = 1) — The filled dot: f(0) = 1, and the graph from the left also reaches 1.
• Right hand limit = 2 (दाएँ पक्ष की सीमा = 2) — Open dot: from the right the graph heads to 2, but f(0) is not 2.
• The jump (lift the pen) (छलाँग (पेन उठाना पड़ता है)) — LHL = 1 \ne 2 = RHL, so f is not continuous at x = 0.

Original diagram drawn by Simple Learning Hub, based on NCERT Fig 5.1. Report a mistake