2 Represent the function \( V(x) \) using technology. Determine the domain and range of the function. Determine the domain and range of the function as they relate to this problem situation. Explain your reasoning.

Exercice 1 : suite de l'exercice 7 du td précédent... Un consommateur dépense la totalité de son revenu R à l'achat de deux biens X et Y en quantités x et y aux prix Px et Py. Ses préférences sont stables et peuvent être exprimées par la fonction d'utilité : \( U(X, Y)=(X+2)(Y+2) \)

¿Cuál es el volumen de un helado en un barquillo cónico, si se sabe que el barquillo tiene 10 cm de altura, 6 cm de diámetro y está lleno de helado hasta el tope, donde además sobresale helado formando una semi-esfera del mismo radio que el barquillo? A) \( 48 \pi \mathrm{~cm}^{3} \) B) \( 121 \pi \mathrm{~cm}^{3} \) C) \( 126 \pi \mathrm{~cm}^{3} \) D) \( 144 \pi \mathrm{~cm}^{3} \)

The question below is appropriate for which grade/s? \( 4235 \times 156 \) Grade 6 Grade \( 4 ; 5 \) and 6 Grade 5 and 6 Grade 4 and 5

Determine the greatest common factor of the terms. The greatest common factor is 6 . Factor out the greatest common factor. Do not do any other factorin \( 6 x^{2}-6 x-72= \)

Practice Problems: Let \( \mathrm{A}=\{-2,-1,0,1,2 \quad\} \). Define a relation R from A to A by x Ry if and only if 3 does divides \( \mathrm{x}-\mathrm{y} \) for any \( \mathrm{x}, \mathrm{y} \in \mathrm{A} \). a. List down the elements of R . b. Find the domain of R c. Find the range of R d. Create an arrow diagram of R Let \( \mathrm{A}=\{0,1,2,3,4,5\} \). Define a relation R from A to A by \( x R y \) if and only if \( \mathrm{x}+\mathrm{y}<4 \) for any \( \mathrm{x}, \mathrm{y} \in \mathrm{A} \). a. List down the elements of R . b. Find the domain of R c. Find the range of R d. Create an arrow diagram of R 3. If \( \left.f(x)=2 x^{2}+5, g(x)=\sqrt{( } 3 x+1\right) \) and \( h(x)=3 x^{2}+2 x \). Evaluate the following: a. \( (\mathrm{f} \cdot(\mathrm{g} \cdot \mathrm{h})(\mathrm{x}) \) b. \( (\mathrm{go}(\mathrm{goh}))(\mathrm{x}) \) c. \( ((\mathrm{goh})+\mathrm{h})(\mathrm{x}) \)