graphic pairs function in the same set of axis (1 quadrant)
g(x)=3/7x+6&h(x)=3/7-3
you can play around here, and see how things work:
http://www.wolframalpha.com/input/?i=plot+3%2F7+x+%2B+6,+3%2F7x-3
If you meant:
g(x)=3/(7x+6) and h(x)=3/(7x-3)
the curves look a bit more interesting.
http://www.wolframalpha.com/input/?i=plot+y+%3D3%2F(7x%2B6)+,+y+%3D3%2F(7x-3)
To graph the given pairs of functions, g(x) = (3/7)x + 6 and h(x) = (3/7)x - 3, in the same set of axes within the first quadrant (quadrant 1), you will need to follow these steps:
1. Determine the range of x-values you want to plot. Since both functions are linear, you can choose any range you prefer. Let's choose a range from x = 0 to x = 7.
2. Calculate the corresponding y-values for each function within the chosen range of x-values.
For g(x) = (3/7)x + 6:
- Pick an x-value within your chosen range (e.g., x = 0)
- Substitute the x-value into the equation: g(0) = (3/7)(0) + 6 = 6
- Repeat this process for a few more x-values, such as x = 1, x = 2, etc.
- Plot the calculated (x, y) points on the graph.
Similarly, for h(x) = (3/7)x - 3, repeat the process to calculate corresponding y-values for each chosen x-value.
3. Once you have plotted all the points for both functions, draw a straight line connecting these points for each function.
For g(x), the line will have a positive slope of (3/7) and pass through the y-intercept (0, 6).
For h(x), the line will also have a positive slope of (3/7) but pass through the y-intercept (0, -3).
4. Ensure that the graph is confined to the first quadrant by making sure both x and y-values are positive.
5. Label your axes as "x" and "y" and include a scale for measurement.
By following these steps, you will be able to graph the pairs of functions, g(x) = (3/7)x + 6 and h(x) = (3/7)x - 3, on the same set of axes within the first quadrant.