{
  "unit": 6,
  "title": "Exponential Functions & Growth Models",
  "terms": [
    {
      "en": "exponential function",
      "es": "función exponencial",
      "fr": "fonction exponentielle",
      "ar": "دالة أسية",
      "pt": "função exponencial",
      "definition": "A function of the form a*b^x, with b>0 and b not equal to 1."
    },
    {
      "en": "initial value",
      "es": "valor inicial",
      "fr": "valeur initiale",
      "ar": "القيمة الابتدائية",
      "pt": "valor inicial",
      "definition": "The model value at the chosen starting time, commonly x=0."
    },
    {
      "en": "growth factor",
      "es": "factor de crecimiento",
      "fr": "facteur de croissance",
      "ar": "عامل النمو",
      "pt": "fator de crescimento",
      "definition": "The multiplier greater than 1 applied in each equal time interval."
    },
    {
      "en": "exponential growth",
      "es": "crecimiento exponencial",
      "fr": "croissance exponentielle",
      "ar": "نمو أسي",
      "pt": "crescimento exponencial",
      "definition": "Growth by a constant positive proportional change per interval."
    },
    {
      "en": "exponential decay",
      "es": "decaimiento exponencial",
      "fr": "décroissance exponentielle",
      "ar": "اضمحلال أسي",
      "pt": "decaimento exponencial",
      "definition": "Decrease by a constant percentage per equal time interval."
    },
    {
      "en": "percent change",
      "es": "cambio porcentual",
      "fr": "variation en pourcentage",
      "ar": "التغير المئوي",
      "pt": "variação percentual",
      "definition": "Change divided by the original value, expressed per hundred."
    },
    {
      "en": "compound interest",
      "es": "interés compuesto",
      "fr": "intérêts composés",
      "ar": "الفائدة المركبة",
      "pt": "juros compostos",
      "definition": "Interest calculated on principal and previously accrued interest."
    },
    {
      "en": "compounding period",
      "es": "período de capitalización",
      "fr": "période de capitalisation",
      "ar": "فترة الرسملة",
      "pt": "período de capitalização",
      "definition": "The interval at whose end accumulated interest is credited."
    },
    {
      "en": "effective annual rate",
      "es": "tasa anual efectiva",
      "fr": "taux annuel effectif",
      "ar": "معدل الفائدة السنوي الفعلي",
      "pt": "taxa anual efetiva",
      "definition": "An annualized rate incorporating the stated compounding frequency."
    },
    {
      "en": "continuous compounding",
      "es": "capitalización continua",
      "fr": "capitalisation continue",
      "ar": "التركيب المستمر للفائدة",
      "pt": "capitalização contínua",
      "definition": "The limiting interest model A=Pe^(rt)."
    },
    {
      "en": "natural base e",
      "es": "base natural e",
      "fr": "base naturelle e",
      "ar": "الأساس الطبيعي هـ",
      "pt": "base natural e",
      "definition": "The positive constant approximately 2.71828 used in natural growth models."
    },
    {
      "en": "common-base method",
      "es": "método de base común",
      "fr": "méthode de base commune",
      "ar": "طريقة الأساس المشترك",
      "pt": "método da base comum",
      "definition": "Solving exponential equations by expressing both sides with the same base."
    },
    {
      "en": "exponential equation",
      "es": "ecuación exponencial",
      "fr": "équation exponentielle",
      "ar": "معادلة أسية",
      "pt": "equação exponencial",
      "definition": "An equation with the unknown appearing in an exponent."
    },
    {
      "en": "exponential regression",
      "es": "regresión exponencial",
      "fr": "régression exponentielle",
      "ar": "الانحدار الأسي",
      "pt": "regressão exponencial",
      "definition": "Fitting parameters of an exponential model to observations."
    },
    {
      "en": "data residual",
      "es": "residuo de datos",
      "fr": "résidu de données",
      "ar": "الباقي الإحصائي",
      "pt": "resíduo dos dados",
      "definition": "Observed value minus predicted value, used to assess a model."
    },
    {
      "en": "linear model",
      "es": "modelo lineal",
      "fr": "modèle linéaire",
      "ar": "نموذج خطي",
      "pt": "modelo linear",
      "definition": "A model with constant additive rate of change."
    },
    {
      "en": "quadratic model",
      "es": "modelo cuadrático",
      "fr": "modèle quadratique",
      "ar": "نموذج تربيعي",
      "pt": "modelo quadrático",
      "definition": "A degree-two polynomial model with constant second differences for equally spaced inputs."
    }
  ],
  "schema_version": "1.1"
}