A function is strictly decreasing if its output values decrease as the input values increase. In other words, as the input increases, the output decreases.
To prove that a function is strictly decreasing, you must show that for any two input values, the output value of the first input is greater than the output value of the second input. This can be done through various methods, such as using the derivative or using the definition of a strictly decreasing function.
A strictly decreasing function is one in which the output values must decrease as the input values increase. In contrast, a non-decreasing function is one in which the output values can either stay the same or increase as the input values increase.
Yes, a function can be strictly decreasing on some intervals and not others. This means that the function may have regions where the output values decrease as the input values increase, but it may also have other regions where the output values do not follow this pattern.
Some real-life examples of strictly decreasing functions include the temperature of an object as it cools down, the amount of money in a bank account as it is withdrawn, and the population of a species as it becomes endangered.