Identifica la asíntota horizontal de la función \( f(x) = 3^{x} - 5 \).

If \( f(x)=\frac{\sqrt{x+2}}{3-3 x^{2}} \), for which values of \( x \) is \( 1.22 \quad f(x) \) non real \( 1.23 \quad f(x) \) undefined \( 12.4 \quad f(x)>0 \)

I On donne le nombre complexe \( u= \) 1)a) calculer \( u^{2} \) et \( u^{4} \) b) calculer le module et un argument de de \( u \) 2) le plan complexe est muni d'un coordonnées \( (x, y) \) du plan, on associe s Déterminer l'ensemble des points \( M \) du \( u \times z \) est égal à 8 . II) Linéariser \( : A=\sin 3 x \cos ^{2} x ; B=c \)

3-Determine the domain of \( f(x, y)=\sqrt{x^{2}-9}-\ln (y-1) \) \[ \begin{array}{ll}\text { (a) }|x| \geq 3 \text { and } y>1 & \text { (b) }|x| \leq 3 \\ \text { (c) }|x| \geq 3 \text { and } y=1 & \end{array} \]

Sketch on the same set of axes the graphs of \( f(x)=-2 x^{2}-4 x+6 \) and \( g(x)=-2 \cdot 2^{x-1}+1 \) Clearly indicate all intercepts with the axes, turning point(s) and asymptote(s).

What effect does multiplying the function \( f(x) = 3^x \) by -1 have on its graph? Describe any transformations.