Quiz — 68a3389bc6d17_Serie1_25-26_generalites-fonctions.pdf

Question 1 sur 10 20:00

[{"id":33980,"question":"Quelle est l’image de 3 par la fonction f définie par f(x) = 2x + 1 ?","option_a":"5","option_b":"7","option_c":"6","option_d":"8","option_e":"","option_f":"","bonne_reponse":"c","explication":"Pour trouver l'image de 3, on remplace x par 3 dans l'expression de la fonction : f(3) = 2*3 + 1 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"5\", \"b\": \"7\", \"c\": \"6\", \"d\": \"8\"}}","_debug_options_count":4},{"id":33981,"question":"Le domaine de définition d’une fonction polynôme est toujours ℝ.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Tous les polynômes sont définis pour tout réel x, donc leur domaine de définition est bien ℝ.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":33982,"question":"La fonction f(x) = x² est-elle paire ?","option_a":"Oui, car f(-x) = f(x)","option_b":"Non, car f(-x) ≠ f(x)","option_c":"Oui, car f(-x) = -f(x)","option_d":"Non, car elle n'est pas définie pour x négatif","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction est paire si f(-x) = f(x) pour tout x. Ici, f(-x) = (-x)² = x² = f(x), donc elle est paire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Oui, car f(-x) = f(x)\", \"b\": \"Non, car f(-x) ≠ f(x)\", \"c\": \"Oui","_debug_options_count":4},{"id":33983,"question":"Quelle est la représentation graphique d’une fonction affine ?","option_a":"Une droite","option_b":"Une parabole","option_c":"Un cercle","option_d":"Une hyperbole","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine de la forme f(x) = ax + b a pour représentation graphique une droite dans le plan cartésien.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Une droite\", \"b\": \"Une parabole\", \"c\": \"Un cercle\", \"d\": \"Une hyp","_debug_options_count":4},{"id":33984,"question":"La fonction f(x) = 1\/x est-elle définie en x = 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fonction f(x) = 1\/x n'est pas définie en x = 0 car le dénominateur s'annule, ce qui rend la fonction indéfinie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":33985,"question":"Quelle est l’expression de la fonction linéaire passant par les points (1, 2) et (3, 6) ?","option_a":"f(x) = 2x","option_b":"f(x) = 3x","option_c":"f(x) = x + 1","option_d":"f(x) = 4x - 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le coefficient directeur a = (6-2)\/(3-1) = 2. La fonction est donc f(x) = 2x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"f(x) = 2x\", \"b\": \"f(x) = 3x\", \"c\": \"f(x) = x + 1\", \"d\": \"f(x) = 4","_debug_options_count":4},{"id":33986,"question":"La courbe d’une fonction affine peut-elle être une droite horizontale ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une droite horizontale correspond à une fonction affine de la forme f(x) = b, où b est une constante. Le coefficient directeur a est alors égal à 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":33987,"question":"Quelle est la nature de la fonction f(x) = x³ - 2x + 1 ?","option_a":"Affine","option_b":"Cubique","option_c":"Rationnelle","option_d":"Exponentielle","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fonction f(x) = x³ - 2x + 1 est un polynôme de degré 3, donc elle est cubique.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Affine\", \"b\": \"Cubique\", \"c\": \"Rationnelle\", \"d\": \"Exponentielle\"","_debug_options_count":4},{"id":33988,"question":"La fonction f(x) = √x est-elle définie pour tout x réel ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fonction f(x) = √x n'est définie que pour x ≥ 0, car on ne peut pas prendre la racine carrée d'un nombre négatif dans ℝ.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":33989,"question":"Quelle est la valeur de f(0) pour la fonction f(x) = 5x² - 3x + 2 ?","option_a":"2","option_b":"5","option_c":"0","option_d":"-3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour trouver f(0), on remplace x par 0 dans l'expression : f(0) = 5*0² - 3*0 + 2 = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"2\", \"b\": \"5\", \"c\": \"0\", \"d\": \"-3\"}}","_debug_options_count":4}]