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Cubic function over unit intervals

Select the unit interval on which $g(x)=-x^3+1$ is decreasing?

$[2,3]$

$[1,2]$

All of these

Select the unit interval on which $f(x)=x^3$ is increasing?

$[-2,-1]$

$[1,2]$

All of these

Select the unit interval on which $g(x)=-(x+3)^3$ is decreasing?

$[-8,-7]$

$[1,2]$

All of these

None of these

Select the unit interval on which $g(x)=(x-1)^3$ is increasing?

$[-2,-1]$

$[5,6]$

All of these

None of these

Select the unit interval on which $g(x)=-x^3+1$ is decreasing?

$[2,3]$

$[1,2]$

All of these

None of these

Is the sentence true or false?
$h(x)=x^3+1$ is decreasing on [2,3].

True

False

Is the sentence true or false?
$h(x)=x^3+1$ is increasing on [-2,-3].

True

False

Select the unit interval on which $f(x)=-x^3+2$ is increasing?

$[-2,-1]$

$[2,3]$

All of these

none of these

Select the unit interval on which $g(x)=(x-1)^3$ is decreasing?

$[2,3]$

$[1,2]$

All of these

None of these

Select the unit interval on which $f(x)=(x+3)^3$ is increasing?

$[-8,-7]$

$[-7,-6]$

All of these

None of these

Questions

Time

Score

Cubic function over unit intervals

Select the unit interval on which ﻿g(x)=−x3+1g(x)=-x^3+1g(x)=−x3+1﻿ is decreasing?

﻿[2,3][2,3][2,3]﻿

﻿[1,2][1,2][1,2]﻿

All of these

Select the unit interval on which ﻿f(x)=x3f(x)=x^3f(x)=x3﻿ is increasing?

﻿[−2,−1][-2,-1][−2,−1]﻿

﻿[1,2][1,2][1,2]﻿

All of these

Select the unit interval on which ﻿g(x)=−(x+3)3g(x)=-(x+3)^3g(x)=−(x+3)3﻿ is decreasing?

﻿[−8,−7][-8,-7][−8,−7]﻿

﻿[1,2][1,2][1,2]﻿

All of these

None of these

Select the unit interval on which ﻿g(x)=(x−1)3g(x)=(x-1)^3g(x)=(x−1)3﻿ is increasing?

﻿[−2,−1][-2,-1][−2,−1]﻿

﻿[5,6][5,6][5,6]﻿

All of these

None of these

Select the unit interval on which ﻿g(x)=−x3+1g(x)=-x^3+1g(x)=−x3+1﻿ is decreasing?

﻿[2,3][2,3][2,3]﻿

﻿[1,2][1,2][1,2]﻿

All of these

None of these

Is the sentence true or false? ﻿h(x)=x3+1h(x)=x^3+1h(x)=x3+1﻿ is decreasing on [2,3].

True

False

Is the sentence true or false? ﻿h(x)=x3+1h(x)=x^3+1h(x)=x3+1﻿ is increasing on [-2,-3].

True

False

Select the unit interval on which ﻿f(x)=−x3+2f(x)=-x^3+2f(x)=−x3+2﻿ is increasing?

﻿[−2,−1][-2,-1][−2,−1]﻿

﻿[2,3][2,3][2,3]﻿

All of these

none of these

Select the unit interval on which ﻿g(x)=(x−1)3g(x)=(x-1)^3g(x)=(x−1)3﻿ is decreasing?

﻿[2,3][2,3][2,3]﻿

﻿[1,2][1,2][1,2]﻿

All of these

None of these

Select the unit interval on which ﻿f(x)=(x+3)3f(x)=(x+3)^3f(x)=(x+3)3﻿ is increasing?

﻿[−8,−7][-8,-7][−8,−7]﻿

﻿[−7,−6][-7,-6][−7,−6]﻿

All of these

None of these

Incorrect

Great!

Select the unit interval on which $g(x)=-x^3+1$ is decreasing?

$[2,3]$

$[1,2]$

Select the unit interval on which $f(x)=x^3$ is increasing?

$[-2,-1]$

$[1,2]$

Select the unit interval on which $g(x)=-(x+3)^3$ is decreasing?

$[-8,-7]$

$[1,2]$

Select the unit interval on which $g(x)=(x-1)^3$ is increasing?

$[-2,-1]$

$[5,6]$

Select the unit interval on which $g(x)=-x^3+1$ is decreasing?

$[2,3]$

$[1,2]$

Is the sentence true or false?
$h(x)=x^3+1$ is decreasing on [2,3].

Is the sentence true or false?
$h(x)=x^3+1$ is increasing on [-2,-3].

Select the unit interval on which $f(x)=-x^3+2$ is increasing?

$[-2,-1]$

$[2,3]$

Select the unit interval on which $g(x)=(x-1)^3$ is decreasing?

$[2,3]$

$[1,2]$

Select the unit interval on which $f(x)=(x+3)^3$ is increasing?

$[-8,-7]$

$[-7,-6]$