Question
Show me this function on a graph.
F (x) = 3/2x + 5
F (x) = 3/2x + 5
Answers
GPT 3.5
To graph the function f(x) = 3/2x + 5, we can start by plotting the y-intercept, which is (0,5).
Next, we can find another point by choosing another x-value and calculating the corresponding y-value. For example, if we let x = 2, then y = 3/2(2) + 5 = 3 + 5 = 8. So another point on the graph is (2,8).
Plot these two points on the graph and connect them with a straight line. The graph of f(x) = 3/2x + 5 is a straight line with a slope of 3/2, passing through the point (0,5) and (2,8).
Below is the graph of the function f(x) = 3/2x + 5:
```
|
9 | *
| *
8 | *
| *
7 | *
| *
6 | *
| *
5 |-------------------------------------------------*
| *
4 | *
| *
3 | *
|
2 |
|
----------------------------
1 2 3 4 5
```
Next, we can find another point by choosing another x-value and calculating the corresponding y-value. For example, if we let x = 2, then y = 3/2(2) + 5 = 3 + 5 = 8. So another point on the graph is (2,8).
Plot these two points on the graph and connect them with a straight line. The graph of f(x) = 3/2x + 5 is a straight line with a slope of 3/2, passing through the point (0,5) and (2,8).
Below is the graph of the function f(x) = 3/2x + 5:
```
|
9 | *
| *
8 | *
| *
7 | *
| *
6 | *
| *
5 |-------------------------------------------------*
| *
4 | *
| *
3 | *
|
2 |
|
----------------------------
1 2 3 4 5
```