Mathematics · Calculus and Graphical Analysis
Consider a plot of a function f(x) which is a constant positive value of 1 in the interval [0, 1] and 0 elsewhere. Which of the following describes the graph of the cumulative area under this plot as a function of x?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1It is a step function that abruptly jumps from 0 to 1 at x = 0.5.
- 2It remains constant at 1 for all values of x.
- 3It starts at 0 for x ≤ 0, increases quadratically from x = 0 to x = 1, and then decreases back to 0 for x ≥ 1.
- 4It starts at 0 for x ≤ 0, increases linearly with a constant slope of 1 from x = 0 to x = 1, and remains constant at 1 for x ≥ 1.✓
Correct answer
It starts at 0 for x ≤ 0, increases linearly with a constant slope of 1 from x = 0 to x = 1, and remains constant at 1 for x ≥ 1.
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Calculus and Graphical Analysis MCQs →Want more practice questions on Calculus and Graphical Analysis?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Calculus and Graphical Analysis