Exercicio para entregar

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UNIVERSIDADE DA REGIÃO DE JOINVILLE - UNIVILLE
BACHARELADO EM ENGENHARIA DE SOFTWARE
CALCULO DIFERENCIAL E INTEGRAL
PROFESSORA: LUCIA TAVARES DE BORBA REIS
ALUNO: MAICON CERUTTI
Exercício para entregar - valendo 2 pontos na prova
1. Sejam a s funções definidas por f(x) = 2x + a e g(x) = -3x + 2b. Determine a + b de modo que se tenha g(1) = 3 e f(0) = - 1.
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2. Seja a função definida por . Calcule o elemento do domínio de f cuja imagem é 5.
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3. Sabendo f(x)= determinar o valor de . 
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4. Seja a função f(x) = 3x2 +5x. Simplifique a expressão f(a+3) – f(2a)
 f(a-1)
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5. Esboce o gráfico das funções abaixo:
y = - x2 + 3x – 4
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y = x - 1
 2
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y = 2x 
 x + 1 ________________
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6. Determine o domínio da função 
a) f(x) = 3x – 15 b) y = 8 – 4x c) y = √2x + 1
 x – 4 1-2x √3x -1
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7. Um bufett estima que se ele tem x clientes em uma semana, então as despesas serão de aproximadamente C(x) = 53x +650 reais, e o seu faturamento (quantidade de dinheiro recebido) R(x) = 100x reais.
Determine o custo para atender 15 clientes.
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Se o faturamento do bufett é R$ 6500,00, qual foi a quantidade de clientes atendidos?
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 Faça o gráfico do custo e do faturamento no mesmo eixo cartesiano.
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________8. Seja a função f(x) = ax3 + b. Se f(- 1) = 2 e f(1) = 4, calcule a e b. 
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