Question

При каких значениях x функция y=2x-7 примет положительное и отрицательное значения

Answer 1

Х прин. (-беск.; 3.5) - отрицательное

X прин. (3.5; +беск) - положительное

Нуль функции - 3.5

Answer 2

To find when the function $y = 2x - 7$ takes positive and negative values, we need to consider the sign of $y$ for different values of $x$.

1. Positive values of $y$: $y$ will be positive when $2x - 7 > 0$. To solve for $x$: $2x - 7 > 0$ $2x > 7$ $x > \frac{7}{2}$

So, the function will have positive values when $x$ is greater than $\frac{7}{2}$ or approximately $x > 3.5$.

2. Negative values of $y$: $y$ will be negative when $2x - 7 < 0$. To solve for $x$: $2x - 7 < 0$ $2x < 7$ $x < \frac{7}{2}$

So, the function will have negative values when $x$ is less than $\frac{7}{2}$ or approximately $x < 3.5$.

In summary:

• The function $y = 2x - 7$ will be positive when $x > 3.5$.
• The function $y = 2x - 7$ will be negative when $x < 3.5$.