I'm trying to graph each function for the given domain. Can you let me know if I'm on the right track or not?
3x-y=1;d:(-3,-1,0,4)
I have -y=3x+1
x,y
-3,12
-1,4
0,0
4,-16
Yes, you are on the right track in terms of finding the values of y for each given x value. However, let's go step by step to make sure we're doing it correctly.
The given equation is 3x - y = 1. To graph this equation, we need to find the corresponding y-values for each x-value in the given domain.
Here's how you can do it:
1. Start with the given equation: 3x - y = 1
2. Solve for y by isolating it on one side of the equation.
- Subtract 3x from both sides: -y = -3x + 1
- Flip the signs: y = 3x - 1
3. Now that we have the equation in the slope-intercept form (y = mx + b), we can easily find the values of y for each x value in the domain.
- Substitute the x-values from the domain into the equation and solve for y:
- For x = -3: y = 3(-3) - 1 = -9 - 1 = -10
- For x = -1: y = 3(-1) - 1 = -3 - 1 = -4
- For x = 0: y = 3(0) - 1 = -1
- For x = 4: y = 3(4) - 1 = 12 - 1 = 11
So, the corresponding (x, y) values for the given domain are:
(-3, -10)
(-1, -4)
(0, -1)
(4, 11)
Now that you have these coordinates, you can plot them on a graph to visualize the function.