I'm not sure how to find the function for this graph.
X|Y
0|5
1|8
2|11
3|14
Can this be explained?
Yes. When x is increased by 1, y is increased by 3.
Do you think you can help me write a formula I'm not sure I know its something like...
y=3x-5
I'm not sure if that's right.
Certainly! To find the function for a given graph, you need to determine the mathematical relationship between the input values (x) and the corresponding output values (y). In this case, you have a set of three points (0, 5), (1, 8), and (2, 11).
To find the function, you can start by observing the pattern or trend in the y-values as the x-values increase. In this graph, the y-values increase by 3 for every increase of 1 in the x-values. This suggests a linear relationship.
To find the equation of a linear function, you can use the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
To find the slope (m), you can choose any two points on the line and use the formula:
m = (y2 - y1) / (x2 - x1)
Let's use the point (0, 5) and (1, 8) to find the slope:
m = (8 - 5) / (1 - 0)
m = 3
Now that we have the slope, we just need to find the y-intercept (b). For that, we can substitute one of the points into the equation and solve for b.
Using the point (0, 5), we have:
5 = 3(0) + b
5 = b
Therefore, the equation of the line or function that represents the given graph is:
y = 3x + 5
Please note that this explanation assumes a linear relationship and works best when the given points indeed represent a linear pattern.