Question

Постройте график функции; 1) y=2x+3 2) y=-3x+4 3) y=4x-1 4) y=-2x-5. В каких четвертях находятся точки графика? Назовите точки пересечения графика с осями Ох и Оу

Answer 1

Все графики - линейные, строим по двум точкам каждый.
у=2х+3
х=0        х=1
у=3        у=5
(0;3)(1;5)

у=-3х+4
х=0        х=1
у=4        у=1
(0;4)(1;1)

у=4х-1
х=0        х=1
у=-1       у=3
(0;-1)(1;3)

у=-2х-5
х=0         х=1
у=-5        у=-7
(0;-5)(1;-7)

1) точки находятся в 1,3,4 четверти
2) 1,2,4 четверти
3) 1,2,3 четверти
4) 2,3,4 четверти

пересечения с осями:
1) (0;3) (-1.5;0)
2) (0;4) (4/3;0)
3) (0;-1) (1/4;0)
4) (0;-5) (-5/2;0)
График в файле

Answer 2

Graphing the Functions

To graph the given functions, we have: 1) y = 2x + 3 2) y = -3x + 4 3) y = 4x - 1 4) y = -2x - 5

Let's plot these functions and analyze their characteristics.

Quadrants and Intercepts

The quadrants in which the points of the graph are located and the points of intersection of the graph with the x and y axes are as follows:

1) y = 2x + 3: - Quadrant: The line y = 2x + 3 is in the first quadrant. - x-intercept: (−1.5, 0) - y-intercept: (0, 3)

2) y = -3x + 4: - Quadrant: The line y = -3x + 4 is in the fourth quadrant. - x-intercept: (1.33, 0) - y-intercept: (0, 4)

3) y = 4x - 1: - Quadrant: The line y = 4x - 1 is in the first quadrant. - x-intercept: (0.25, 0) - y-intercept: (0, -1)

4) y = -2x - 5: - Quadrant: The line y = -2x - 5 is in the third quadrant. - x-intercept: (-2.5, 0) - y-intercept: (0, -5)

These points and characteristics can be used to plot the graphs and understand their positions and intersections with the axes.