Question

1. Якої з наведених властивостей функція у = 4х не мае? A Областю визначення функції є множина всіх дійсних чисел Б Функція є зростаючою В Графік функції перетинає вісь ординат у точці (0; 4) Г Функція не набуває вiд'ємних значень​

Answer 1

Properties of the Function u = 4x

The function u = 4x is a linear function, and we will examine the given properties to determine which ones it does not have.

A. The domain of the function is the set of all real numbers. B. The function is increasing. C. The graph of the function intersects the y-axis at the point (0, 4). D. The function does not take negative values.

Let's analyze each property:

A. The domain of the function is the set of all real numbers. - This property is true for the function u = 4x. The domain of the function is indeed the set of all real numbers.

B. The function is increasing. - This property is true for the function u = 4x. Since the coefficient of x is positive (4 > 0), the function is increasing. As x increases, the value of u also increases.

C. The graph of the function intersects the y-axis at the point (0, 4). - This property is true for the function u = 4x. When x = 0, the value of u is 4. Therefore, the graph of the function intersects the y-axis at the point (0, 4).

D. The function does not take negative values. - This property is not true for the function u = 4x. Since the coefficient of x is positive, the function u = 4x will always have positive values. It does not take negative values.

In summary, the function u = 4x does not have the property of not taking negative values.

I hope this clarifies the properties of the function u = 4x. Let me know if you have any further questions!