Question

Помогите СРОЧНО пожалуйста: Постройте график функции y=2x-8. найдите: а) значение y ,которому соответствует х=-3. б) значение x , при котором y=-2 Проходит ли график функции через точку K ( 1 ; -4)

Answer 1

А) y= 2×(-3)-8= -6-8= -14
б) -2=2x-8
2x= -2+8
x=3
в) подставим значени x точки К в данное уравнение
y=2×1-8= -6
точка имеет значение y= -4
а у нас получилось -6
ответ: нет, не проходит

Answer 2

Graph of the Function y = 2x - 8

To plot the graph of the function y = 2x - 8, we can start by assigning different values to x and calculating the corresponding values of y. Let's calculate a few points to get an idea of the graph:

| x | y | |---|---| | -3 | -14 | | -2 | -12 | | -1 | -10 | | 0 | -8 | | 1 | -6 | | 2 | -4 | | 3 | -2 |

Now, let's plot these points on a graph:


Finding the Value of y for x = -3

To find the value of y for x = -3, we can substitute x = -3 into the equation y = 2x - 8 and solve for y:

y = 2(-3) - 8 y = -6 - 8 y = -14

Therefore, when x = -3, y = -14.

Finding the Value of x for y = -2

To find the value of x for y = -2, we can substitute y = -2 into the equation y = 2x - 8 and solve for x:

-2 = 2x - 8 2x = -2 + 8 2x = 6 x = 6/2 x = 3

Therefore, when y = -2, x = 3.

Does the Graph Pass Through the Point K(1, -4)?

To check if the graph of the function y = 2x - 8 passes through the point K(1, -4), we can substitute x = 1 into the equation and see if it satisfies the equation:

-4 = 2(1) - 8 -4 = 2 - 8 -4 = -6

Since -4 is not equal to -6, the graph of the function does not pass through the point K(1, -4).

I hope this helps! Let me know if you have any further questions.