decreasing function

简明释义

降函数

英英释义

例句

1.A decreasing function can be used to describe the relationship between the amount of sugar in a solution and its sweetness.

一个递减函数可以用来描述溶液中糖的含量与其甜度之间的关系。

2.As the distance from the source of light increases, the intensity of the light follows a decreasing function.

随着距离光源的增加，光的强度遵循一个递减函数。

3.In economics, the demand curve is often represented as a decreasing function, indicating that lower prices lead to higher demand.

在经济学中，需求曲线通常被表示为一个递减函数，这表明较低的价格会导致更高的需求。

4.The temperature over the night can be modeled as a decreasing function, which means it will gradually drop as the hours pass.

夜间的温度可以建模为一个递减函数，这意味着随着时间的推移，它会逐渐下降。

5.The speed of a car as it approaches a red light can be considered a decreasing function, as it slows down.

一辆汽车在接近红灯时的速度可以视为一个递减函数，因为它在减速。

作文

In mathematics, a function is a relationship between a set of inputs and a set of possible outputs. One important type of function is the decreasing function (递减函数), which is characterized by the property that as the input values increase, the output values decrease. This concept is vital in various fields such as economics, physics, and statistics, where understanding how one quantity changes in relation to another can lead to critical insights.To illustrate the idea of a decreasing function (递减函数), consider a simple example: the temperature outside as night falls. As the evening progresses, we often observe a drop in temperature. If we let time be our input variable, and temperature be our output variable, we can see that as the hours pass, the temperature decreases. In this case, we can say that the temperature function is a decreasing function (递减函数).Graphically, a decreasing function (递减函数) can be represented on a Cartesian plane. The x-axis typically represents the input variable, while the y-axis represents the output variable. When we plot a decreasing function (递减函数), we notice that the line moves downward from left to right. This visual representation helps us quickly understand the nature of the relationship between the two variables involved. The concept of a decreasing function (递减函数) is not only limited to linear functions but can also apply to non-linear functions. For instance, the function f(x) = -x^2 is a decreasing function (递减函数) when x is greater than or equal to zero. Here, as we increase the value of x, the output of the function becomes smaller. This characteristic is essential for analyzing trends in data, as it allows us to predict future behavior based on past observations.In economics, decreasing functions (递减函数) play a crucial role in understanding demand and supply. For example, the law of demand states that, all else being equal, as the price of a good increases, the quantity demanded decreases. This relationship can be modeled using a decreasing function (递减函数). By analyzing these functions, economists can make informed predictions about market behavior and consumer choices.Moreover, the concept of a decreasing function (递减函数) extends to real-life scenarios beyond mathematics. For instance, consider the depreciation of a car's value over time. As years go by, the value of the car decreases, illustrating a decreasing function (递减函数) in action. Understanding such trends is crucial for consumers and businesses alike, as it impacts purchasing decisions and investment strategies.In conclusion, the decreasing function (递减函数) is an essential concept in mathematics and its applications across various disciplines. By grasping the characteristics and implications of decreasing functions (递减函数), we can better analyze relationships between variables, make predictions, and draw meaningful conclusions in both theoretical and practical contexts. Whether in the realm of science, economics, or everyday life, recognizing the patterns of decreasing functions (递减函数) empowers us to navigate complexities and make informed decisions.

在数学中，函数是一组输入与一组可能输出之间的关系。一种重要的函数类型是递减函数（decreasing function），其特点是随着输入值的增加，输出值减少。这个概念在经济学、物理学和统计学等多个领域中至关重要，因为理解一个量如何随另一个量变化可以带来重要的洞察。为了说明递减函数（decreasing function）的概念，考虑一个简单的例子：夜幕降临时外面的温度。随着晚上逐渐深入，我们通常会观察到温度下降。如果我们让时间成为我们的输入变量，而温度成为我们的输出变量，我们可以看到随着时间的推移，温度在下降。在这种情况下，我们可以说温度函数是一个递减函数（decreasing function）。从图形上看，递减函数（decreasing function）可以在笛卡尔平面上表示。x轴通常表示输入变量，而y轴表示输出变量。当我们绘制一个递减函数（decreasing function）时，我们注意到线条从左向右向下移动。这种视觉表示帮助我们快速理解两个变量之间关系的性质。递减函数（decreasing function）的概念不仅限于线性函数，还可以应用于非线性函数。例如，函数f(x) = -x^2在x大于或等于零时是一个递减函数（decreasing function）。在这里，随着x值的增加，函数的输出变得更小。这一特征对于分析数据中的趋势至关重要，因为它使我们能够根据过去的观察预测未来的行为。在经济学中，递减函数（decreasing function）在理解需求和供给方面发挥着至关重要的作用。例如，需求法则指出，在其他条件不变的情况下，商品价格上升时，需求量会下降。这种关系可以用递减函数（decreasing function）建模。通过分析这些函数，经济学家可以对市场行为和消费者选择做出明智的预测。此外，递减函数（decreasing function）的概念扩展到现实生活场景，超越了数学的范畴。例如，考虑汽车价值随时间的贬值。随着年份的推移，汽车的价值下降，生动地展示了递减函数（decreasing function）的运作。理解这样的趋势对于消费者和企业来说至关重要，因为这影响到购买决策和投资策略。总之，递减函数（decreasing function）是数学及其在各个学科应用中的一个基本概念。通过掌握递减函数（decreasing function）的特性和影响，我们可以更好地分析变量之间的关系，做出预测，并在理论和实践背景中得出有意义的结论。无论是在科学、经济学还是日常生活中，识别递减函数（decreasing function）的模式使我们能够应对复杂性并做出明智的决策。