MAT 1033 Intermediate Algebra:
Find the domain of each relation and
write the domain in interval notation.
1.
Section 4.5 Relations & Functions
12.
y  x3
2. y  x 2  2 x  7
3. y  x
4. y  x  3
5.
f ( x)  4  x
Domain:
Range:
Function?
6. g ( x)  7 x  2
x2
x4
8
8. f ( x) 
3x  7
x  8
9. g ( x) 
2  9x
3 x
10. h( x) 
x6
7. h( x) 
13.
Find the domain and range of each relation
then determine if the relation is a function.
11.
Domain:
Range:
Function?
14.
Domain:
Range:
Function?
Domain:
Range:
Function?
15. Given f ( x)  x 2  2 x  3
Find f(-1), f(2), f(0), and f(10)
Answers:
1. (-∞, ∞)
2. (-∞, ∞)
3. [0, ∞)
4. [-3, ∞)
5. (-∞, 4]
6. [2/7, ∞)
7. (-∞, - 4)  (-4, ∞) or All real numbers except -4.
8. (-∞, -7/3)  (-7/3, ∞) or All real numbers except -7/3.
9 (-∞, 2/9)  (2/9, ∞) or All real numbers except 2/9.
10. (-6, ∞)
11.
12.
13.
14.
15.
Domain: (-∞, ∞), Range: (-∞, ∞), Function: Yes
Domain: (-∞, ∞), Range: (-∞, 4], Function: Yes
Domain: (-∞,1], Range: (-∞, ∞), Function: No
Domain:[-1, 3], Range: [-5, -3], Function: No
f(-1)=6
f(2)=3
f(0)=3
f(10)=83