Question

Постройте график функции у=0,5х+3.попостройте график функции у=0,5х+3.по графику определите:1.при каких значениях аргумента х значения функции у положительны2.при каких значениях аргумента х значения функции у отрицательны

Answer 1

     График во вложении
f(x)=0.5x+3
y>0 при х>-6;
y<0 при х<-6

Answer 2

Graph of the Function y = 0.5x + 3

To graph the function y = 0.5x + 3, we can start by plotting a few points and then connecting them to form a line. The general form of the function is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 0.5 and the y-intercept is 3.

Let's plot some points to create the graph:

| x | y | | --- | --- | | -6 | 0 | | 0 | 3 | | 6 | 6 |

Now, let's connect these points to create the graph of the function y = 0.5x + 3.

Analysis of the Graph

1. Values of x for Positive y: - From the graph, we can see that the values of y are positive when x is greater than -6.

2. Values of x for Negative y: - Similarly, the values of y are negative when x is less than -6.

By analyzing the graph, we can determine the ranges of x for which the function y = 0.5x + 3 yields positive and negative values.

I hope this helps! If you have any further questions, feel free to ask.