These are both equations of lines, with a common point at 3,-6 extend the blue line to the left.......and starting at the far right blue dot, extend the line through the red dots down and to the right
the points without whole numbers I cannot graph . this is the only space I have it doesnt let me choose middle points.
Then just plot the whole numbers in the list.....and connect the dots as I explained....the lines will be the same....GLuck !
SInce they are lines , you only need two points to draw each one....just make sure ONE of the points for both lines is the common point
3,-6
g(x) = -2x , x ≥3
Let's just pick two x values ≥ 3 and stick them into the function
When x = 3, y = -6.....so....(3, -6) is on the graph
When x = 4, y = -8.....so.....(4, -8) is on the graph
Plot (3, -6)
Then...plot (4, -8).....draw a ray startting at (3, 6) and extend it through (4, -8)
g(x) = -(1/3)X - 5, x ≤3
Again..let's pick x = 3 and put it into the function....and we have (-1/3)(3) - 5 = -1 - 5 = -6
So....the point (3, -6) is on the graph
Now.....pick anoher x value < 3.......0 is good
So (-1/3)(0) - 5 = -5
So (0, -5) is on this graph
Draw a ray from (-3, 6) through (0, -5)
The graph will look like this :
Of course...the lines (rays) will have "arrows" at their ends
....and now I learned another graphing tool/ method in Desmos ....Thanx Chris !
Thank you for going indepth about how I would go so forth in solving. I was confused about it but with your explaination t\it all makes sense now thank you!