Use transformations to graph the following function. Determine the domain, range, horizontal asymptote, and \( y \)-intercept of the function. \( f(x)=3^{x}+4 \) Which transformation is needed to graph the function \( f(x)=3^{x}+4 \) ? Choose the correct answer below. B. The graph of \( y=3^{x} \) should be shifted vertically up by 4 units. \( y=3^{x} \) should be shifted horizontally right by 4 units. D. The graph of \( y=3^{x} \) should be shifted horizontally left by 4 units. Use the graphing tool to graph the function. Dhould be shifted vertically down by 4 units. (For any answer boxes shown with the grapher, type an exact answer.) The domain of \( f(x) \) is \( \square \). (Type your answer in interval notation.)

Let \( f(x)=7\left(\frac{1}{2}\right)^{x} \). Complete parts (a) through (e) below. (e) Is f a one-to-one function? Does fhave an inverse?

Find the domain of the function. \[ f(x)=\ln \left(x^{2}-121\right) \] Write the domain in interval notation. The domain is \( \square \).

\( \sum _ { m - 1 } ^ { 5 } \frac { 7 } { m } = \)

7. Graficar la siguiente función a trozos y determinar su dominio \[ f(x)=\left\{\begin{array}{ll}x^{2}+2 x & \text { si } x<-1 \\ x & \text { si }-1<x \leq 1 \\ -1 & \text { si } x>1\end{array}\right. \]

2) \( \left(w_{n}\right) \) a pour terme général : \( w_{n}=4^{n}-5^{n} \) Sxercice 2: (5 points) Soit \( \left(u_{n}\right) \) la suite définie par \( u_{0}=-3 \) et pour tout \( n \in N \) par \( u_{n+1}=\frac{9}{6-u_{n}} \). Soit \( \left(v_{n}\right) \) la suite définie par \( v_{n+1}=\frac{1}{u_{n}-3} \) 1) Démontrer que la suite \( \left(v_{n}\right) \) est arithmétique de raison \( \frac{-1}{3} \) 2) En déduire l'expression de \( v_{n} \) puis de \( u_{n} \) en fonction de \( n \). 3) Déterminer la limite de la suite ( \( u \) ).