Factor Me
Factor Me
Solve Me
Domain and Range
100

Factor 4x2+16x

4x(x+4)

100

Factor x2 + 2x + 1

(x + 1)(x+1) or (x + 1)2

100

Solve 4x2 - 12 = 0

x= +-sqrt(3)

100

What would be the theoretical domain of the function y = 2(3)x

(Hint:  Sketch a graph)

domain:  

x = RR 

200

Factor x2 + 2x - 3

(x + 3)(x - 1) 

200

Factor 3x2 + 6x + 3

3(x + 1)(x + 1) or 3(x + 1)2
200

Solve 2x2 + 17x + 30=0

x = -frac (5)(2) or x = -6

200

What is the range of this graph? 

Range:   

300

Factor 5x2 - 17x

x(5x - 17)

300

Factor 8x2 + 16x + 16 

8(x2 + 2x + 2)

Can't be factored anymore.

300

Solve 2x2 + 3x - 20 = 0 

x = frac (5)(2) or x = -4

300

What is the domain of the given function? 

Domain:  

400

x2 + 7x + 10

(x + 2)(x + 5)

400

Factor 16x2 - 4

4(2x + 1)(2x - 1)

400

Solve 4x2 + 8x + 7 = 4

x = -frac (1)(2) or x = -frac (3)(2)

400

What is the Domain and Range of the following function? 

Domain:  

x = RR


Range:

-2 <= y <= 2

 

500

Factor 2x2 + 7x + 6

(2x + 3)(x + 2)

500

Factor 35x2 + 37x - 6

(7x - 1)(5x + 6)

500

Solve 2x2 - 7x - 13 = -10

x = frac (7+-sqrt73)(4)

500

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.