 # Solve problems related to transformations of functions with confidence, thanks to expert examples and equations.

Recent questions in Transformations of functions postillan4 2021-06-12

## g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. g(x) = 2 ||x + 5|| Joni Kenny 2021-06-12

## h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h. $h\left(x\right)=\left(x-2{\right)}^{3}+2$ Phoebe 2021-06-06

## For each of the following functions f (x) and g(x), express g(x) in the form a: f (x + b) + c for some values a,b and c, and hence describe a sequence of horizontal and vertical transformations which map f(x) to g(x). $f\left(x\right)={x}^{2}-2,g\left(x\right)=2+8x-4{x}^{2}$ Khadija Wells 2021-06-01

## What formula do we need, in addition to: $\frac{d}{dx}\left({x}^{n}\right)=n{x}^{n-1}$ $\frac{d}{dx}\left(cu\right)=cd\frac{u}{dx}$ $\frac{d}{dx}\left({u}_{1}+{u}_{2}+\dots +{u}_{n}\right)=d\frac{{u}_{1}}{dx}+d\frac{{u}_{2}}{dx}+\dots +d\frac{{u}_{n}}{dx}$ to differentiate rational functions? coexpennan 2021-06-01

## Determine $\underset{x\to \infty }{lim}f\left(x\right)$ and $\underset{x\to -\infty }{lim}f\left(x\right)$ for the following rational functions. Then give the horizontal asymptote of f (if any). $f\left(x\right)=\frac{40{x}^{5}+{x}^{2}}{16{x}^{4}-2x}$ BolkowN 2021-05-30

## In your own words, summarize the guidelines for finding limits at infinity of rational functions. Chesley 2021-05-25

## Answer these question  Lipossig 2021-05-14

## Find the area of the shaded region  Jason Farmer 2021-05-14

## Determine whether each of the given sets is a real linear space, if addition and multiplication by real scalars are defined in the usual way. For those that are not, tell which axioms fail to hold. The function are real-valued. All rational functions f/g, with the degree off ≤≤ the degree ofg (including f = 0). Line 2021-05-14

## The process by which we determine limits of rational functions applies equally well to ratios containing noninteger or negative powers of x: Divide numerator and denominator by the highest power of x in the denominator and proceed from there. Find the limits. $\underset{x\to \mathrm{\infty }}{lim}\left(\left({x}^{-1}\right)+\left({x}^{-4}\right)\right)/\left(\left({x}^{-2}\right)-\left({x}^{-3}\right)\right)$ he298c 2021-05-13

## For the function f whose graph is given, state the following. (a) $\underset{x\to \mathrm{\infty }}{lim}f\left(x\right)$ b) $\underset{x\to -\mathrm{\infty }}{lim}f\left(x\right)$ (c) $\underset{x\to 1}{lim}f\left(x\right)$ (d) $\underset{x\to 3}{lim}f\left(x\right)$ (e) the equations of the asymptotes Vertical:- ? Horizontal:-? Reeves 2021-05-13

## Find the volume of the solid generated by revolving the shaded region  Yulia 2021-05-13

## g is related to one of the parent functions. Describe the sequence of transformations from f to g. g(x) = -2|x - 1| - 4 Kyran Hudson 2021-05-05

## Determine if the following series is convergent or divergent a) $\sum _{n=2}^{\mathrm{\infty }}\frac{1}{n\mathrm{ln}n}$ b) $\sum _{n=0}^{\mathrm{\infty }}n{e}^{-{n}^{2}}$ c) $\sum _{n=1}^{\mathrm{\infty }}\frac{1}{\sqrt{n}}$ d)$\sum _{n=4}^{\mathrm{\infty }}\frac{1}{{n}^{7}}$ tricotasu 2021-05-04

## The above countour map is given for a function f(x,y). Use it for estimate the valur of the partial derivatives f_x(2,1) and f_y(2,1)  pancha3 2021-05-01

## g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. g(x) = √3x pancha3 2021-03-18

## Sketch a graph of the function. Use transformations of functions whenever possible. $f\left(x\right)=-{\left(x-1\right)}^{4}$ Rivka Thorpe 2021-03-12

## Begin with the graph of y = ln x and use transformations to sketch the graph of each of the given functions. $y=\mathrm{ln}\left(2-x\right)$ Zoe Oneal 2021-02-21
## Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that $Rn\left(x\right)\to 0$.] $f\left(x\right)=e-5x$ Zoe Oneal 2021-02-12