EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Continuity & Differentiability · Question 59 of 125

Question 59

EasyOriginal question

At how many points is the signum function sgn⁡x\operatorname{sgn} x (11 for x>0x > 0, 00 at 0, −1-1 for x<0x < 0) not continuous?

Options for question 59

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Away from 0 it is constant, so continuous.

  2. At 0 it jumps from −1-1 to 1: 1 point.

Worth noting

0 forgets the jump at the origin.

Concept
Discontinuities of a step function
Typical time
60 s
Your time
—
The rule this testsContinuous functions
Practise this chapter →

Ten questions from Continuity & Differentiability, at your own pace.

Practise this chapter →

Ten questions from Continuity & Differentiability, at your own pace.