Question

Постройте график функции y=1,5x+3 1)запишите промежуток значений аргумента, при которых значения функции положительны.2)запишите промежуток значений аргумента при которых значения функции отрицательны

Answer 1

Сначала строим график ПРЯМОЙ линии по двум точка.
1)  Х = 0 и У = +3 - пересечение с осью  У
2) У = 0 и  1,5*Х = -3 и Х = - 2 - пересечение с осью Х.
График в приложении.
И начинаем давать ответы.
1) У>0 при Х> -2 или Х∈(-2;+∞)
2) Y<0 при Х∈(-∞;-2)
Значение -2 -  в круглых скобках, потому, что БОЛЬШЕ(меньше), но не равно 2.

Answer 2

Graph of the Function y = 1.5x + 3

To begin, let's plot the graph of the function y = 1.5x + 3.

The graph of a linear function y = mx + c is a straight line with slope m and y-intercept c. In this case, the slope is 1.5 and the y-intercept is 3.

The graph of y = 1.5x + 3 is a straight line with a slope of 1.5 and a y-intercept at (0, 3).

Intervals of Positive and Negative Values

1) Intervals of Positive Values: - The values of the function y = 1.5x + 3 are positive when x is greater than a certain value. - To find the interval of positive values, we need to determine the range of x for which y is positive.

2) Intervals of Negative Values: - Similarly, the values of the function y = 1.5x + 3 are negative when x is less than a certain value. - We'll also find the interval of negative values by determining the range of x for which y is negative.

Conclusion

The graph of the function y = 1.5x + 3 is a straight line with a positive slope and a y-intercept at (0, 3). The intervals of positive and negative values for this function will be determined based on the slope and y-intercept.

Let's proceed to calculate the intervals of positive and negative values for the function y = 1.5x + 3.