Factor 4x2+16x
4x(x+4)
Factor x2 + 2x + 1
(x + 1)(x+1) or (x + 1)2
Solve 4x2 - 12 = 0
x= +-sqrt(3)
What would be the theoretical domain of the function y = 2(3)x
(Hint: Sketch a graph)
domain:
x = RR
Factor x2 + 2x - 3
(x + 3)(x - 1)
Factor 3x2 + 6x + 3
Solve 2x2 + 17x + 30=0
x = -frac (5)(2) or x = -6
What is the range of this graph?

Range:
Factor 5x2 - 17x
x(5x - 17)
Factor 8x2 + 16x + 16
8(x2 + 2x + 2)
Can't be factored anymore.
Solve 2x2 + 3x - 20 = 0
x = frac (5)(2) or x = -4
What is the domain of the given function? 
Domain:
x2 + 7x + 10
(x + 2)(x + 5)
Factor 16x2 - 4
4(2x + 1)(2x - 1)
Solve 4x2 + 8x + 7 = 4
x = -frac (1)(2) or x = -frac (3)(2)
What is the Domain and Range of the following function? 
Domain:
x = RR
Range:
-2 <= y <= 2
Factor 2x2 + 7x + 6
(2x + 3)(x + 2)
Factor 35x2 + 37x - 6
(7x - 1)(5x + 6)
Solve 2x2 - 7x - 13 = -10
x = frac (7+-sqrt73)(4)
When you are asked to find the domain and range of a word problem. Which type of domain and range are you finding?
a. Theoretical
b. Practical
c. Neither
d. Both
Practical......you are finding the x-values and y-values that make sense in the word problem.