For each of the following functions, draw a contour map, showing contours at heights 2 = 0,1 and 2. Label intersections with the r and y axes as appropriate. Label the contours with their heights, and show the calculations you made to work out the contours. 1. z = V+ y? –1

For each of the following graphs, create a table and answer the questions that follow. 9) X n 50° 45 40 35 30- 25 20 15 (3,13.72) (2.9.8) 10 (0,5) (1,7) -2 4 -2 6 8 -00 Process 10 y a) Describe how the y-values in the table are changing. b) Write a function representing the data in this table.

1. Consider the following points. (2, 9), (9, 2) a. Find the distance between the two points. b. Find the midpoint of the line segment containing the two points. atio the ne possing through the points, Cve the slope of this ine. t 2. Determine whether each point lies on the graph of the equation. y = x² – 4x + 3 (-3, -24) 3. Identify the x- and y-intercepts of the graph. Verify your results algebraically. y = 16 – 4x² h(-2) ch(x+1) - Use the algebraic tests to check for symmetry with respect to both axes and the origin. x – y? = 4 | Find all real values of x for wh which )= 0, . Find the valu Find the slope and y-intercept (if possible) of the equation of the line. (If an answer does not exist, enter DNE.) a. x + 3 = 0 %3D b. 14x - бу %3D 66