1. Day 76 – Review of Inverse Functions

2. Work with partner. Use the graph to answer each question.
1. Approximate the y-coordinate of the point on the line with the given - coordinate.
a. 0 b c. 2

3. 2. Approximate the x-coordinate of the point on the line with the given – coordinate.
a. -7 b c. 4

4. 3. What is the relationship between the x- and y- coordinates of a point on a line and the equation of the line?

5. 3. What is the relationship between the x- and y- coordinates of a point on a line and the equation of the line?

6. 4. What is an equation of the line in the graph?

7. 5. Use a graphing utility to graph the line y = 2x - 0. 8. 6
5. Use a graphing utility to graph the line y = 2x Use DESMOS to make a table of about 8 ordered pairs that are on the line.

8. 7. Delete the graph of the equation and graph only the equation. 8
7.Delete the graph of the equation and graph only the equation . 8. Use DESMOS and make a table of about 8 ordered pairs that are on the line .

9. 9. Examine your tables of ordered pairs
9. Examine your tables of ordered pairs. Write the coordinates of a point that is in both tables. If you cannot find such a point, write the coordinates of a point close to points on both tables.
10. Without graphing, how do you know that the graphs of and will intersect?

10. 11. Where do you think the lines will intersect
11. Where do you think the lines will intersect? Check by graphing both lines on the same set of axes. Use DESMOS to find the point of intersection.
12. Clear the graph screen. On the same set of axes, graph the equations and .Use DESMOS to find the point of intersection.

11. 13. Clear the graph screen. On the same set of axes, graph the equations and . What happens when you try to find the point of intersection? Explain.
14. Write a pair of equations and have your partner find the point of intersection of the graphs of the equations. How can you be sure the pair of equations you write will intersect?

12. Change each equation to slope-intercept form,
15. Graph the two equations to find a common solution.
3x+ y = 11 x - 2y = 6

13. Solve the System by Graphing
3x – y = 2 x – 2y = - 2
16.

14. Determine whether (-2,2) is a solution of the system.
y = -3x – 4 y = -2x – 2
17.

15. Answer Keys 4
Positive, linear
y = x + 4

17. 8. 9. (2 , 3.2) 10. the lines have a negative and a positive slope

18. 11.

19. 12.

20. 13. Answers may vary 14. Answers may vary

21. 15. Graph the two equations to find a common solution
15. Graph the two equations to find a common solution. (4, -1) is the common solution.
3x+ y = 11
x - 2y = 6

22. 16. Solve the System by Graphing

23. 17. (-2 , 2) is a solution of the system