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Absolute value function over unit intervals

Every absolute function as $|x|$ is_____ over unit interval.

Continuous

Not Continuous

May or may not continuous

What is the behavior of the function $y=|x|$ over unit interval?

Increasing

Decreasing

Constant

Complete:
The graph of absolute function $y=|x|$ , over unit interval is _______

Continuous

Not Continuous

Piecewise

Which of following is not continuous over unit interval.

$y=|x-\frac{1}{2}|$

$y=|x|-\frac{1}{2}$

$y=\frac{1}{|x|-\frac{1}{2}}$

Find the point where the function $y=|x-1|$ intercepts $y-axis$ over unit interval.

$x=0$

Nowhere intercepts

$x=1$

Find the point where the function $y=|x-8|$ intercepts $y-axis$ over unit interval.

$x=8$

$x=-8$

$x=0$

Complete:
The values of the function $y=|x|$ over unit interval lies in ____ quadrant.

First

Second

Third

Find the point where the function $y=|x|$ intercepts $x-axis$ over unit interval.

$x=0$

$x=1$

$x=0.5$

Find the range of the function $y=|x|$ over unit interval.

$[0,1]$

$(0,1]$

$[0,1)$

Find the point where the function $y=|x|$ has maximum value over unit interval.

$x=0$

$x=1$

$x=0.5$

Questions

Time

Score

Absolute value function over unit intervals

Every absolute function as ﻿∣x∣|x|∣x∣﻿ is_____ over unit interval.

Continuous

Not Continuous

May or may not continuous

What is the behavior of the function ﻿y=∣x∣y=|x|y=∣x∣﻿ over unit interval?

Increasing

Decreasing

Constant

Complete:The graph of absolute function ﻿y=∣x∣y=|x|y=∣x∣﻿ , over unit interval is _______

Continuous

Not Continuous

Piecewise

Which of following is not continuous over unit interval.

﻿y=∣x−12∣y=|x-\frac{1}{2}|y=∣x−21​∣﻿

﻿y=∣x∣−12y=|x|-\frac{1}{2}y=∣x∣−21​﻿

﻿y=1∣x∣−12y=\frac{1}{|x|-\frac{1}{2}}y=∣x∣−21​1​﻿

Find the point where the function ﻿y=∣x−1∣y=|x-1|y=∣x−1∣﻿ intercepts ﻿y−axisy-axisy−axis﻿ over unit interval.

﻿x=0x=0x=0﻿

Nowhere intercepts

﻿x=1x=1x=1﻿

Find the point where the function ﻿y=∣x−8∣y=|x-8|y=∣x−8∣﻿ intercepts ﻿y−axisy-axisy−axis﻿ over unit interval.

﻿x=8x=8x=8﻿

﻿x=−8x=-8x=−8﻿

﻿x=0x=0x=0﻿

Complete:The values of the function ﻿y=∣x∣y=|x|y=∣x∣﻿ over unit interval lies in ____ quadrant.

First

Second

Third

Find the point where the function ﻿y=∣x∣y=|x|y=∣x∣﻿ intercepts ﻿x−axisx-axisx−axis﻿ over unit interval.

﻿x=0x=0x=0﻿

﻿x=1x=1x=1﻿

﻿x=0.5x=0.5x=0.5﻿

Find the range of the function ﻿y=∣x∣y=|x|y=∣x∣﻿ over unit interval.

﻿[0,1][0,1][0,1]﻿

﻿(0,1](0,1](0,1]﻿

﻿[0,1)[0,1)[0,1)﻿

Find the point where the function ﻿y=∣x∣y=|x|y=∣x∣﻿ has maximum value over unit interval.

﻿x=0x=0x=0﻿

﻿x=1x=1x=1﻿

﻿x=0.5x=0.5x=0.5﻿

Incorrect

Great!

Every absolute function as $|x|$ is_____ over unit interval.

What is the behavior of the function $y=|x|$ over unit interval?

Complete:
The graph of absolute function $y=|x|$ , over unit interval is _______

$y=|x-\frac{1}{2}|$

$y=|x|-\frac{1}{2}$

$y=\frac{1}{|x|-\frac{1}{2}}$

Find the point where the function $y=|x-1|$ intercepts $y-axis$ over unit interval.

$x=0$

$x=1$

Find the point where the function $y=|x-8|$ intercepts $y-axis$ over unit interval.

$x=8$

$x=-8$

$x=0$

Complete:
The values of the function $y=|x|$ over unit interval lies in ____ quadrant.

Find the point where the function $y=|x|$ intercepts $x-axis$ over unit interval.

$x=0$

$x=1$

$x=0.5$

Find the range of the function $y=|x|$ over unit interval.

$[0,1]$

$(0,1]$

$[0,1)$

Find the point where the function $y=|x|$ has maximum value over unit interval.

$x=0$

$x=1$

$x=0.5$