Question

Построить график функции y=2x-1

Answer 1

Y=2x-1 прямая в 1 и 3 ч
х    0      2
у  -1      3
Строим точки (0;-1) и (2;3) и через них проводим прямую

Answer 2

Graph of the Function y = 2x - 1

To plot the graph of the function y = 2x - 1, we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope (m) is 2 and the y-intercept (b) is -1.

To plot the graph, we can start by choosing a few x-values and calculating the corresponding y-values using the equation y = 2x - 1.

Let's choose x = -2, -1, 0, 1, and 2:

When x = -2: y = 2(-2) - 1 = -4 - 1 = -5

When x = -1: y = 2(-1) - 1 = -2 - 1 = -3

When x = 0: y = 2(0) - 1 = 0 - 1 = -1

When x = 1: y = 2(1) - 1 = 2 - 1 = 1

When x = 2: y = 2(2) - 1 = 4 - 1 = 3

Now, we can plot these points on a graph and connect them to form a straight line.

Here is the graph of the function y = 2x - 1:


The blue line represents the graph of the function y = 2x - 1. As x increases, y increases twice as fast, resulting in a straight line with a positive slope of 2. The y-intercept is -1, which is the point where the line crosses the y-axis.

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