course MTH 163
10/2/09 10:50 p.m.
Make tables and sketch graphs of y = x, y = x 2 , y = x -1 and y = 2 x , for x = -3 to x = 3. Show what happens to each graph if it is vertically stretched by factor 2.
y=x
Table (3,3),(2,2),(1,1),(0,0),(-1,-1),(-2,-2),(-3,-3)
stretched by a factor of 2 y=2(x)
Table (3,6),(2,4),(1,2),(0,0),(-1,-2),(-2,-4),(-3,-6)
y=x^2
Table (3,9),(2,4),(1,1),(0,0),(-1,1),(-2,4),(-3,9)
stretched by a factor of 2 y =2(x)^2
Table (3,18),(2,8),(1,2),(0,0),(-1,2),(-2,8),(-3,18)
y=x^-1
Table (3,1/3),(2,1/2),(1,1),(o is undefined),(-1,-1),(-2,-1/2),(-3,-1/3)
stretched by a factor of 2 y=2(x)^-1
Table (3,2/3),(2,1),(1,2),(0 is undefined),(-1,-2),(-2,-1),(-3,-2/3)
y=2^x
Table (3,8),(2,4)(1,2),(0,1),(-1,1/2),(-2,1/4),(-3,1/8)
stretched by a factor of 2 y=2(2)^x
Table (3,16),(2,8),(1,4),(0,1),(-1,1),(-2,1/2),(-3,1/4)
&#This looks very good. Let me know if you have any questions. &#