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Rational function over unit intervals

Complete:
The function $f(x)=x^3-12x$ is ___________on (−2,2).

Increasing

decreasing

constant

Consider the function $f\left(x\right)=\frac{1}{x}$ What is the vertical asymptote of the function ?

$X=0$

$Y=0$

Consider the function $f\left(x\right)=\frac{2x+1}{x-1}$ .What is the horizontal asymptote of the function ?

$Y=0$

$Y=1$

Consider the function $f\left(x\right)=\frac{1}{x-1}$ What is the vertical asymptote of the function ?

$x=1$

$y=1$

Consider the function $f\left(x\right)=\frac{x+1}{2x-1}$ .What is the horizontal asymptote of the function ?

$Y=0$

$Y=\frac{1}{2}$

Complete:
The function $f(x)=x^3-12x$ is ___________on $(−∞,−2)∪(2,∞)$ .

Increasing

Decreasing

Constant

At what quadrant does the graph of $f\left(x\right)=\frac{-1}{x}$ / found ?

Quadrant I and Quadrant III

Quadrant II and Quadrant IV

At what quadrant does the graph of $f\left(x\right)=\frac{-1}{x^2}$ / found ?

Quadrant I and Quadrant II

Quadrant III and Quadrant IV

1. At what quadrant does the graph of $f\left(x\right)=\frac{1}{x}$ / found ?

Quadrant I and Quadrant III

Quadrant II and Quadrant IV

At what quadrant does the graph of $f\left(x\right)=\frac{-1}{x^2}$ / found ?

Quadrant I and Quadrant II

Quadrant III and Quadrant IV

Questions

Time

Score

Rational function over unit intervals

Complete:
The function $f(x)=x^3-12x$ is ___________on (−2,2).

Increasing

decreasing

constant

Consider the function $f\left(x\right)=\frac{1}{x}$ What is the vertical asymptote of the function ?

$X=0$

$Y=0$

Consider the function $f\left(x\right)=\frac{2x+1}{x-1}$ .What is the horizontal asymptote of the function ?

$Y=0$

$Y=1$

Consider the function $f\left(x\right)=\frac{1}{x-1}$ What is the vertical asymptote of the function ?

$x=1$

$y=1$

Consider the function $f\left(x\right)=\frac{x+1}{2x-1}$ .What is the horizontal asymptote of the function ?

$Y=0$

$Y=\frac{1}{2}$

Complete:
The function $f(x)=x^3-12x$ is ___________on $(−∞,−2)∪(2,∞)$ .

Increasing

Decreasing

Constant

At what quadrant does the graph of $f\left(x\right)=\frac{-1}{x}$ / found ?

Quadrant I and Quadrant III

Quadrant II and Quadrant IV

At what quadrant does the graph of $f\left(x\right)=\frac{-1}{x^2}$ / found ?

Quadrant I and Quadrant II

Quadrant III and Quadrant IV

1. At what quadrant does the graph of $f\left(x\right)=\frac{1}{x}$ / found ?

Quadrant I and Quadrant III

Quadrant II and Quadrant IV

At what quadrant does the graph of $f\left(x\right)=\frac{-1}{x^2}$ / found ?

Quadrant I and Quadrant II

Quadrant III and Quadrant IV

Incorrect

Great!

Questions

Time

Score

Rational function over unit intervals

Complete:The function ﻿f(x)=x3−12xf(x)=x^3-12xf(x)=x3−12x﻿ is ___________on (−2,2).

Increasing

decreasing

constant

Consider the function ﻿f(x)=1xf\left(x\right)=\frac{1}{x}f(x)=x1​﻿ ﻿ What is the vertical asymptote of the function ?﻿

﻿X=0X=0X=0﻿

﻿Y=0Y=0Y=0﻿

Consider the function ﻿ ﻿f(x)=2x+1x−1f\left(x\right)=\frac{2x+1}{x-1}f(x)=x−12x+1​﻿ .​What is the horizontal asymptote of the function ?

﻿Y=0Y=0Y=0﻿

﻿Y=1Y=1Y=1﻿

Consider the function ﻿f(x)=1x−1f\left(x\right)=\frac{1}{x-1}f(x)=x−11​﻿ What is the vertical asymptote of the function ?﻿

﻿x=1x=1x=1﻿

﻿y=1y=1y=1﻿

Consider the function ﻿﻿f(x)=x+12x−1f\left(x\right)=\frac{x+1}{2x-1}f(x)=2x−1x+1​﻿ .​What is the horizontal asymptote of the function ?

﻿Y=0Y=0Y=0﻿

﻿Y=12Y=\frac{1}{2}Y=21​﻿

Complete:The function ﻿f(x)=x3−12xf(x)=x^3-12xf(x)=x3−12x﻿ is ___________on ﻿(−∞,−2)∪(2,∞)(−∞,−2)∪(2,∞)(−∞,−2)∪(2,∞)﻿ .

Increasing

Decreasing

Constant

At what quadrant does the graph of ﻿f(x)=−1xf\left(x\right)=\frac{-1}{x}f(x)=x−1​﻿ /​ found ?

Quadrant I and Quadrant III

Quadrant II and Quadrant IV

At what quadrant does the graph of ﻿f(x)=−1x2f\left(x\right)=\frac{-1}{x^2}f(x)=x2−1​﻿ /​ found ?

Quadrant I and Quadrant II

Quadrant III and Quadrant IV

1. At what quadrant does the graph of ﻿f(x)=1xf\left(x\right)=\frac{1}{x}f(x)=x1​﻿ /​ found ?

Quadrant I and Quadrant III

Quadrant II and Quadrant IV

At what quadrant does the graph of ﻿f(x)=−1x2f\left(x\right)=\frac{-1}{x^2}f(x)=x2−1​﻿ /​ found ?

Quadrant I and Quadrant II

﻿ Quadrant III and Quadrant IV

Incorrect

Great!

Complete:
The function $f(x)=x^3-12x$ is ___________on (−2,2).

Consider the function $f\left(x\right)=\frac{1}{x}$ What is the vertical asymptote of the function ?

$X=0$

$Y=0$

Consider the function $f\left(x\right)=\frac{2x+1}{x-1}$ .What is the horizontal asymptote of the function ?

$Y=0$

$Y=1$

Consider the function $f\left(x\right)=\frac{1}{x-1}$ What is the vertical asymptote of the function ?

$x=1$

$y=1$

Consider the function $f\left(x\right)=\frac{x+1}{2x-1}$ .What is the horizontal asymptote of the function ?

$Y=0$

$Y=\frac{1}{2}$

Complete:
The function $f(x)=x^3-12x$ is ___________on $(−∞,−2)∪(2,∞)$ .

At what quadrant does the graph of $f\left(x\right)=\frac{-1}{x}$ / found ?

At what quadrant does the graph of $f\left(x\right)=\frac{-1}{x^2}$ / found ?

1. At what quadrant does the graph of $f\left(x\right)=\frac{1}{x}$ / found ?

At what quadrant does the graph of $f\left(x\right)=\frac{-1}{x^2}$ / found ?

Quadrant III and Quadrant IV