1. Find the slope of the line having x intercept: 3 and passing through the point (4, -9).
2. Find the domain of the following functions
a) f(x) =(x+1)/(x2 -6x+5)
b) f(x) = (x+11)/(x2 -64)
c) f(x) = (5x+1)/(x2 +9)
3. Find the center (h, k) and radius r of the circle x2 + y2 +4x - 9y + 4 = 0
4. Find the x-coordinate for the vertex of f(x) = -3x2 + 12x + 1.8.
5. Find the function that is finally graphed after the following transformations are applied to the graph of y = x2
The graph is shifted left 4 units, stretched by a factor of 3, shifted vertically down 1 units, and finally reflected across the x-axis.
6. Determine whether the following is symmetric with respect to the x axis, the y- axis, the origin?
a) y = x2 - x4 + 9
b) y = x3 - x4
c) y = x3 - x5
d) y4 = 1 - x2
e) y2= x + 1