For the function f whose graph is given, state the following. 12110601381.jpg (a) \lim_{x \rightarrow \infty} f(x) b) \lim_{x \rightarrow -\infty} f(x) (c) \lim_{x \rightarrow 1} f(x) (d) \lim_{x \rightarrow 3} f(x) (e) the equations of the asymptotes Vertical:- ? Horizontal:-?

Differentiate the following function respect to x
${\displaystyle p=e^{x^2\sin x}}$

g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. ${\displaystyle g\left(x\right)=\sqrt{\frac{1}{4}}x}$

Begin by graphing the standard quadratic functions. ${\displaystyle f\left(x\right)=x^2}$.
Then use transformations of this graph to the given function. ${\displaystyle r\left(x\right)=-{(x+1)}^2}$

Begin by graphing
${\displaystyle f\left(x\right)=2^x}$
Then use transformations of this graph to graph the given function. Be sure to graph and give equations of the asymptotes. Use the graphs to determine each functions

Graph the functions ${\displaystyle y=5^x,y=-5^x,y=5^x+2,y=5^x-2}$, and ${\displaystyle y={10}^x}$ on the same screen. Compare ${\displaystyle y=-5^x,y=5^{-x}}$ to the parent graph ${\displaystyle y=5^x}$. Describe the transformations of the functions.

Describe the transformations that were applied to ${\displaystyle y=x^4}$ to get each of the following functions.

${\displaystyle a)y=-25{\left(3(x+4)\right)}^4-60}$

$b)y=8{\left(\frac{3}{4}x\right)}^4+43$

$c)y={(-13x+26)}^4+13$

$d)y=\frac{8}{11}{(-x)}^4-1$

Begin by graphing
${\displaystyle f\left(x\right)=2^x}$
Then use transformations of this graph to graph the given function. Be sure to graph and give equations of the asymptotes. Use the graphs to determine each functions