my fingers hurt; The term k(a) represents a function where a is the input variable. The values of a that make sense to use depend on the context of the function and the problem being solved. Here are some examples:
1. If the function represents the area of a square, then positive values a make sense to use. For example, if a = 3, the function would give us the area of a square with a side length of 3 units.
2. If the function represents the temperature conversion from Celsius to Fahrenheit, then any real value of a makes sense to use. For example, if a = 25, the function would give us the corresponding temperature in Fahrenheit.
3. If the function represents the cost of an item with a discount, then non-negative values a make sense to use. For example, if a = 0.2, the function would give us the discounted price of an item with a 20% discount.
On the other hand, there are values of a that don't make sense to use based on the context of the function. Here are some examples:
1. If the function represents the length of a side of a square, negative values of a don't make sense to use because the length cannot be negative.
2. If the function represents the number of people attending an event, non-integer values of a don't make sense to use because the number of people attending should be a whole number.
3. If the function represents the probability of an event, values a greater than 1 or less than 0 don't make sense to use because probabilities are always between 0 and 1.
In summary, the values of a that make sense to use depend on the context of the function and the problem being solved. It's important to consider the constraints and limitations of the problem to determine the appropriate values of a.