Exercice 1 ( 8 points) : On considère la fonction afrine \( f \) définic par \( f(x) \) points) Calculer les images de \( -2 ; 2 ; \frac{1}{2} \) et \( -\frac{7}{3} \) 2. ( 2 points) Calculer les antécédents de \( 0 ;-1 ;-5 ;-\frac{7}{3} \) 4. ( 1 point) Tracer la représentation graphique de \( f \) dans le repère ci-contre tableau de signe de \( f(x) \) 5. ( 1,5 points) On considère les points \( \mathrm{A}(-2 ; 10) \) et \( \mathrm{B}(4 ;-8 \) ). Déterminer la fonction affine dont la droite passe par les deux points-A et B.

A. \( 4 x^{2} y\left(x z^{2}+5 w x y+3\right) \).

Solve the following equations and inequalities analytically. Support your solutions graphically. \( \begin{array}{lll}\begin{array}{ll}\text { (a) }|2 x+1|+3=5 & \text { (b) }|2 x+1|+3 \leq 5 \\ \text { (c) }|2 x+1|+3 \geq 5\end{array} \\ \text { A. The solution set is the finite set of real numbers }\{ \\ \text { (a) Find the solution for }|2 x+1|+3=5 \text {. Select the correct choice below, and fill in the } \\ \text { answer box if necessary. } \\ \text { expression. Use a comma to separate answers as needed.) } \\ \text { B. The solution set is the interval } \square \text {. } \\ \text { (Type your answer in interval notation. Use integers or fractions for any } \\ \text { numbers in the expression.) } \\ \text { C. The solution set is } \varnothing \text {. }\end{array} \).

b. Two consecufive number are sucl that the sum of thrice the smaller and twice the larger is 17. Find, correct to three significant figures the smaller number as a percen - tage of the sum of the. two numbers.

23. Reasoning Twenty of the students in Hannah's class, or \( 80 \% \) of the class, voted to have pizza fol lunch every Wednesday. How many students are in Hannah's class?

Solve the following system of equations by the addition method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent. \[ \begin{aligned} 4 x+3 y & =-14 \\ 2 x-y & =-12\end{aligned} \]