How Do You Graph the Combination of Two Functions?

[sfeld]

How exactly do you graph these?

F(x) = 2x and G(x) = x + 1; Graph (F + G).

Please help :\

 

[Tide]

F + G = 3x + 1

 

[M98Ranger]

To graph the combination of two functions, we can follow these steps:

1. Plot the points for each individual function on a coordinate plane. For F(x) = 2x, we can start with the point (0,0) and then plot additional points by using the rule "multiply x by 2 and add 1" to get (1,2), (2,4), (3,6), etc. Similarly, for G(x) = x + 1, we can start with the point (0,1) and then plot additional points by adding 1 to the x-coordinate to get (1,2), (2,3), (3,4), etc.

2. Once we have plotted the points for each function, we can connect them with a straight line to graph each individual function.

3. To graph the combination of F(x) and G(x), we need to add the corresponding y-values of each function. So for the point (1,2) on F(x), we would add 2 to the y-value of (1,2) on G(x) to get the point (1,4) on the combination graph. Similarly, for the point (2,4) on F(x), we would add 4 to the y-value of (2,3) on G(x) to get the point (2,7) on the combination graph.

4. Continue this process for each point and then connect the points with a line to graph the combination of F(x) and G(x). The resulting graph would be a straight line with a slope of 3 (since we are adding 2x and x, the slope would be 3) and a y-intercept of 1 (since we are adding 1 to the y-intercept of G(x)).

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