Question

Дана функция y= -2x+5 а) Принадлежит ли графику функции точка А (-67; 129) б) Постройте график функциив) С помощью графика ответьте: какое значение у соответствует x= -8; 0; 2 какому значению x соответствует y=17?​

Answer 1

Ответ:

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Answer 2

Function and Point Analysis

The given function is y = -2x + 5. Let's analyze the function and answer the questions.

a) To determine if the point A(-67, 129) belongs to the graph of the function, we need to substitute the x and y coordinates of the point into the function and check if the equation holds true.

Substituting x = -67 and y = 129 into the function, we get:

129 = -2(-67) + 5

Simplifying the equation:

129 = 134 + 5

129 = 139

Since the equation is not true, the point A(-67, 129) does not belong to the graph of the function.

b) To plot the graph of the function, we can choose a few x-values, substitute them into the function, and calculate the corresponding y-values. Let's choose x = -8, 0, and 2.

For x = -8: y = -2(-8) + 5 = 16 + 5 = 21

For x = 0: y = -2(0) + 5 = 0 + 5 = 5

For x = 2: y = -2(2) + 5 = -4 + 5 = 1

The corresponding points on the graph are (-8, 21), (0, 5), and (2, 1).

Graph Analysis

Now, let's analyze the graph of the function to answer the second part of the question.

c) To find the value of y corresponding to x = -8, 0, and 2, we can refer to the graph.

- For x = -8, the corresponding y-value is 21. - For x = 0, the corresponding y-value is 5. - For x = 2, the corresponding y-value is 1.

Finding x for y = 17

To find the value of x corresponding to y = 17, we can substitute y = 17 into the function and solve for x.

17 = -2x + 5

Simplifying the equation:

2x = -12

x = -6

Therefore, the value of x that corresponds to y = 17 is -6.

In summary: a) The point A(-67, 129) does not belong to the graph of the function. b) The graph of the function includes the points (-8, 21), (0, 5), and (2, 1). c) The values of y corresponding to x = -8, 0, and 2 are 21, 5, and 1, respectively. d) The value of x corresponding to y = 17 is -6.