Question

Постройте график функции у = 2 – 0,5х . Проходит ли график через точку А (-100;12) ?

Answer 1

Y=2-0, 5x
A(-100; 12)
12=2-0, 5*(-100)
12=-52 - неверно, след. точка A (-100; 12) не принадлежит графику функции y= 2- 0, 5x

Answer 2

решение во вложении...................

Answer 3

I can help you with your math question.

The function y = 2 - 0.5x is a linear function with a slope of -0.5 and a y-intercept of 2. To graph this function, you can plot the y-intercept and use the slope to find another point on the line. For example, if you move one unit to the right, you have to move 0.5 units down. Then you can draw a straight line through the two points.

To check if the graph passes through the point A (-100, 12), you can substitute the x and y values into the function and see if the equation is true. In this case, 12 = 2 - 0.5(-100) is not true, so the graph does not pass through the point A.

Here is a graph of the function y = 2 - 0.5x:

$$ \begin{align*} \begin{tikzpicture}[scale=0.5] \draw[gray!50, thin, step=1] (-10,-10) grid (10,10); \draw[very thick,->] (-10,0) -- (10,0) node[right] {$x$}; \draw[very thick,->] (0,-10) -- (0,10) node[above] {$y$}; \foreach \x in {-10,-9,...,-1,1,2,...,10} \draw (\x,0.5) -- (\x,-0.5) node[below] {\small\x}; \foreach \y in {-10,-9,...,-1,1,2,...,10} \draw (-0.5,\y) -- (0.5,\y) node[right] {\small\y}; \draw[blue, ultra thick, domain=-10:10] plot (\x, {2-0.5*\x}) node[right] {$y=2-0.5x$}; \fill[red] (-100/11, 112/11) circle (0.3) node[above left] {$A(-100,12)$}; \end{tikzpicture} \end{align*} $$

I hope this helps you understand the function and its graph. If you have any other math questions, feel free to ask me.Ответь+подробно.+Постройте+график+функции+у+=+2+–+0,5х+.+Проходит+ли+график+через+точку+А+(-100;12)+?