SIMULADO ESPECIAL 4 - FUNÇÕES E LOGARÍTMOS II - MATPASSOAPASSO

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Funções e Funções Logarítmicas II 
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• pág. 2 
 
ÍNDICE 
 
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• pág. 3 
 PARTE TEÓRICA DA MATÉRIA 
Para assistir basta clicar na imagem 
 
 
 
 
 
 
 
Regras para viver a realidade do concurso 
1ª) Sente numa cadeira simulando o concurso; 
2ª) Seja honesto(a) consigo mesmo(a) e não use qual-
quer dispositivo eletrônico: celular, calculadora etc ou 
folha de rascunho; 
3ª) Ao iniciar o simulado a partir da 1a questão crono-
metre o tempo e faça esse simulado em 44min total; 
4ª) Comece pelas questões que sente que tem domí-
nio. 
 
𝐄𝐬𝐭𝐞 𝐬𝐢𝐦𝐮𝐥𝐚𝐝𝐨 é 𝐜𝐨𝐦𝐩𝐨𝐬𝐭𝐨 𝐩𝐨𝐫 11 𝐪𝐮𝐞𝐬𝐭õ𝐞𝐬 𝐜𝐚𝐝𝐚 
𝐮𝐦𝐚 𝐯𝐚𝐥𝐞𝐧𝐝𝐨 2 𝐩𝐨𝐧𝐭𝐨s. 
 
Está pronto(a)? Comece o simulado! 
 
 
1) (Pucrj 2017) Considere a fun-
ção real da forma f(x) ax b.= + 
Sabendo que f(1) 1= − e f(0) 2,= 
qual é o valor do produto a b? 
 
a) 1 
b) 6 
c) 3− 
d) 4− 
e) 6− 
 
 
 
2) (Unigranrio - Medicina 2017) 
Sabe-se que 𝑓 (
2
3
𝑥 − 3) = 𝑥 + 1. 
Desta forma, pode-se afirmar 
que 𝑓(−1) vale: 
 
a) 4 
b) 3 
c) 2 
d) 1 
e) 0 
 
3) (Eear 2019) Seja a função 
quadrática 𝑓(𝑥) = 𝑎𝑥2 + 𝑏𝑥 + 1. 
Se 𝑓(1) = 0 e 𝑓(−1) = 6, então 
o valor de 𝑎 é 
 
a) 5 
b) 4 
c) 3 
d) 2 
 
4) (Upf 2019) Na figura, está representado o gráfico 
de uma função quadrática 𝑔 de domínio ℝ. Das ex-
pressões a seguir, aquela que pode definir a função 𝑔 
é: 
 
 
a) 𝑔(𝑥) = 𝑥2 + 2𝑥 + 3 
b) 𝑔(𝑥) = 𝑥2 − 𝑥 − 3 
c) 𝑔(𝑥) = −𝑥2 + 𝑥 + 3 
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• pág. 4 
 
d) 𝑔(𝑥) = −𝑥2 − 2𝑥 + 3 
e) 𝑔(𝑥) = 𝑥2 − 2𝑥 + 3 
 
5) (Pucsp 2018) As funções 𝑓( 𝑥) =
3
2
+ 𝑙𝑜𝑔10( 𝑥 −1) 
e 𝑔( 𝑥) = 𝑘⋅ 2(−𝑥+1), com 𝑘 um número real, se inter-
sectam no ponto 𝑃 = (2, 
3
2
). O valor de 𝑔(𝑓( 11)) é 
 
a) 
3√2
4
. 
b) 
3√3
4
. 
c) 
2√3
3
. 
d) 
4√2
3
. 
 
6) (Ueg 2013) O gráfico da função 𝑦 = 𝑙𝑜𝑔(𝑥 + 1) é 
representado por: 
 
a) 
 
 
 
 
 
 
 
b) 
 
 
 
c) 
 
d) 
 
 
7) (Espcex (Aman) 2018) Resolvendo a equação 
𝑙𝑜𝑔3( 𝑥
2 − 2𝑥 − 3) + 𝑙𝑜𝑔1
3
( 𝑥 −
1) = 𝑙𝑜𝑔3( 𝑥 + 1), obtém-se 
 
a) 𝑆 = {−1}. 
b) 𝑆 = {4,5}. 
c) 𝑆 = {6}. 
d) 𝑆 = {∅}. 
e) 𝑆 = {4}. 
 
8) (Ita 1997) Dado um número real a com a > 1, seja 
S o conjunto solução da inequa-
ção 
 
Então S é o intervalo 
 
a) [4, + ∞[ 
b) [4, 7[ 
c) ]1, 5] 
d) ]1, 4] 
e) [1, 4[ 
 
 
9) (Uepb 2012) A solução da inequação logarítmica 
𝑙𝑜𝑔1
2
  𝑥 + 𝑙𝑜𝑔1
2
( 𝑥 − 2) > −3 é 
 
a) 𝑆 = {𝑥 ∈ ℝ/𝑥 > 0} 
b) 𝑆 = {𝑥 ∈ ℝ/𝑥 > 4} 
c) 𝑆 = {𝑥 ∈ ℝ/0 < 𝑥 < 4} 
d) 𝑆 = {𝑥 ∈ ℝ/2 < 𝑥 < 4} 
e) 𝑆 = {𝑥 ∈ ℝ/0 < 𝑥 < 2} 
 
 
 
 
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• pág. 5 
 10) (Udesc 2018) O valor de 𝑥 ⋅ 𝑦 com 𝑥,  𝑦 ∈ ℤ, sa-
bendo que 𝑙𝑜𝑔2   (𝑥) + 𝑙𝑜𝑔4   (𝑦) = 2 e 2
𝑥+𝑦 = 32, é 
igual a: 
 
a) 4 
b) 8 
c) 2 
d) 6 
e) 10 
 
11) (Espcex (Aman) 2017) O número 𝑁 de bactérias 
de uma cultura é dado em função do tempo 𝑡 (em mi-
nutos), pela fórmula 𝑁(𝑡) = (2,5)1,2𝑡. Considere 
𝑙𝑜𝑔10 2 = 0,3, o tempo (em minu-
tos) necessário para que a cul-
tura tenha 1084 bactérias é 
 
a) 120 
b) 150 
c) 175 
d) 185 
e) 205 
 
 
 
 
 
 
 
Para acessar basta clicar em qualquer imagem abaixo 
 
 
 
 
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