Question

Постройте график функции заданной формулой у=2х+5

Answer 1

График функции у=2х+5

Answer 2

Plotting the Function y = 2x + 5

To plot the function y = 2x + 5, we can create a graph with the x-axis representing the input values (x) and the y-axis representing the corresponding output values (y).

Let's start by choosing a range of x-values to plot. Based on the given formula, we can select a range of x-values that will help us visualize the function. For example, let's choose x-values from -10 to 10.

Now, we can substitute each x-value into the equation y = 2x + 5 to find the corresponding y-values. Here's a table of the x and y values:

| x | y | | --- | --- | | -10 | -15 | | -9 | -13 | | -8 | -11 | | -7 | -9 | | -6 | -7 | | -5 | -5 | | -4 | -3 | | -3 | -1 | | -2 | 1 | | -1 | 3 | | 0 | 5 | | 1 | 7 | | 2 | 9 | | 3 | 11 | | 4 | 13 | | 5 | 15 | | 6 | 17 | | 7 | 19 | | 8 | 21 | | 9 | 23 | | 10 | 25 |

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


As we can see from the graph, the function y = 2x + 5 is a straight line with a positive slope of 2. The line intersects the y-axis at the point (0, 5), indicating that when x is 0, y is 5. The line continues to rise as x increases, following the slope of 2.