FUNÇÃO EXPONENCIAL ✅ 2

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função exponencial é aquela em que a variável é um expoente. Matematicamente, ela é definida como f de R em R, tal que f(x) = a^x, em que a ϵ R, a é maior que zero e a ≠ 1. O gráfico dessa função é uma curva obtida ao encontrar alguns pares ordenados que pertencem à função e ao desenhar essa curva que passa por eles. • Vamos resolver as questões: • 1) O censo realizado numa cidade apontou uma população de 250 mil habitantes e um crescimento populacional de 2% ao ano. Chamando de y a população em milhares de habitantes e de x o tempo em anos a partir da data do censo, a função que permite projetar a população futura dessa cidade em função do tempo é: • A y = 250 + 1,02x • B y = 250 + 1,02x • C y = 250 · 1,02x • D y = 250 + 0,02x • E y = 250 + 2x • 2) (PUC-RS) A cada balanço anual, uma firma tem apresentado um aumento de 10% de seu capital. Considerando Q(0) o seu capital inicial, a expressão que fornece esse capital C, ao final de cada ano (t) em que essas condições permanecem, é: • 3) (UFPB) O valor de um certo imóvel, em real, daqui a t anos é dado pela função • • V(t) = 1000(0,8)^t. • Daqui a dois anos, esse imóvel sofrerá, em relação ao valor atual, uma desvalorização de: • A) R$ 800,00 • B) R$ 640,00 • C) R$ 512,00 • D) R$ 360,00 • E) R$200,00 • 4) (UEPA) A poluição é uma agressão ao meio ambiente que causa grandes transtornos à sociedade. A multa para se remover essa poluição é estimada m função da porcentagem (x) de poluente removido. Estas questões são complexas e a definição de custo é discutível. O modelo matemático que trata da questão, chama-se modelo custo-benefício. Em situação recente de poluição de um rio, constatou-se que o modelo ficaria bem representado pela função f, cujo gráfico encontra-se abaixo. Essa função f pode ser representada por: • A f(x) = x^2 – 2x – 10. • B f(x) = e^–x + 10. • C f(x) =10log(x). • D f(x) =10e^x. • E f(x) = – x^2 + 2x + 10. • função exponencial é aquela em que a variável é um expoente. Matematicamente, ela é definida como f de R em R, tal que f(x) = a^x, em que a ϵ R, a é maior que zero e a ≠ 1. O gráfico dessa função é uma curva obtida ao encontrar alguns pares ordenados que pertencem à função e ao desenhar essa curva que passa por eles. • O que é a função exponencial? • Resultado de imagem para FUNÇÃO EXPONENCIAL • A função exponencial representa uma relação de dependência. Nesse tipo de operação matemática existe uma variável (incógnita) no expoente e o número real (maior que zero e diferente de um) na base. Tal função, é explicitada da seguinte forma: f: R--R tal que y = aˣ, sendo que a maior que 0 e a ≠ 1. • Como fazer um função exponencial? • Resultado de imagem para FUNÇÃO EXPONENCIAL • Uma função exponencial é uma função que possui uma variável como expoente. Matematicamente, ela pode ser representada por f de R em R, que é obtida pela lei de formação f(x) = ax, em que “a” é um número real dado, a maior que 0 e a ≠ 1. • Vamos resolver as questões: • 1) Suponha que você tem um capital de R$ 5000,00 investido em uma instituição financeira cuja taxa diária de juros compostos seja de 0,05%. Qual será o montante acumulado em t dias? • 2) Uma amostra de 10 kg de uma substância radioativa, se desintegra à razão de 0,5% ao ano. Qual é a equação que expressa a massa M dessa amostra em kg, em função do tempo t em anos? • função exponencial, equação exponencial, inequação exponencial, exponencial exercícios, equação exponencial exercícios, equação exponencial exemplos, aula de função exponencial, exponencial, exponencial e logaritmo, propriedades da potenciação, funções exponenciais, potenciação, potência, construção do gráfico da função exponencial, gráfico da função exponencial, função exponencial crescente, função exponencial problemas, função exponencial exercícios, função exponencial exemplos • • função exponencial exercícios, • função exponencial exemplos, • função exponencial fórmula, • função exponencial resumo, • função exponencial pdf, • função exponencial exemplos resolvidos, • função exponencial: gráfico, • função exponencial exercícios 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