Question

При каких значениях аргумента, значение функции, заданной формулой y = |x| - 3 / 4 принимает значение, равные 0;2;4;5?7 КЛАСС​

Answer 1

Ответ: х=3+4х
Х=7х-1
-1х+4=-5
(Я всё посчитала и вышло правильно)

Answer 2

Finding the Values of x for Given y in the Function y = |x| - 3/4

To find the values of x for which the function y = |x| - 3/4 takes on specific values, we can solve for x in terms of y. The absolute value function |x| can be split into two cases: when x is positive and when x is negative.

1. When y = 0: - For y = 0, the equation becomes 0 = |x| - 3/4. - Solving for x, we get |x| = 3/4. - This gives us two possible values for x: x = 3/4 and x = -3/4.

2. When y = 2: - For y = 2, the equation becomes 2 = |x| - 3/4. - Solving for x, we get |x| = 11/4. - This gives us two possible values for x: x = 11/4 and x = -11/4.

3. When y = 4: - For y = 4, the equation becomes 4 = |x| - 3/4. - Solving for x, we get |x| = 19/4. - This gives us two possible values for x: x = 19/4 and x = -19/4.

4. When y = 5: - For y = 5, the equation becomes 5 = |x| - 3/4. - Solving for x, we get |x| = 23/4. - This gives us two possible values for x: x = 23/4 and x = -23/4.

5. When y = 7: - For y = 7, the equation becomes 7 = |x| - 3/4. - Solving for x, we get |x| = 31/4. - This gives us two possible values for x: x = 31/4 and x = -31/4.

In summary, the values of x for which the function y = |x| - 3/4 takes on the given values are: - For y = 0, x = 3/4 or x = -3/4. - For y = 2, x = 11/4 or x = -11/4. - For y = 4, x = 19/4 or x = -19/4. - For y = 5, x = 23/4 or x = -23/4. - For y = 7, x = 31/4 or x = -31/4.

These values of x satisfy the given values of y in the function y = |x| - 3/4.