Function and Relation
Name:_________________________________________Grade& Section:________________Score:_________
I. Determine whether or not each relation is a function. Give the domain and range of each relation.
1. {(2,3),(4,5),(6,6)}
Domain:
Range:
2. {(4,5), (4,6), (5,5), (5,6)}
Domain:
Range:
3. {(-2,-2), (-1,-1), (0,0), (1,1)}
Domain:
Range:
4. {(-6,-6), (-4,-4), (-2,-2),(0,0)}
Domain:
Range:
5. {(5,1), (5,2), (5,3)}
Domain:
Range:
6. {(6,7), (6,8), (7,7), (7,8)}
Domain:
Range:
II. State whether or not each relation is a function.
7. 8. 9.
Output
Input , ,D
R x y
100
3
1 4 4
10. 11. 9
200
4
2 4 8
33
300 4 12
12. 4 16
year expenses
2002 Php 4 000 000
2003 Php 5 000 000
2004 Php 4 000 000
2005 Php 5 000 000
13. 14. 15.
Linear Function
Name:_________________________________________Grade&Section:___________Score:___________
I.
Quadratic Function
Name:_________________________________________Grade&Section:___________Score:___________
I. IDENTIFICATION.
____________1. An equation of the form 2 bx c
f ( x) ax
where a,b,and c are real numbers and a0.
____________2. The point where the line of symmetry crosses the parabola.
____________3. The line divides the parabola into two symmetric parts which are mirror images of each other.
____________4. It is the graph of any quadratic function.
____________5. It is a vertex form of a quadratic function.
II. Find the properties for each quadratic function and then graph.
1. f ( x) 4 x 2 8 x 3
Domain :___________________
Range :___________________
X-intercepts :___________________
Y-intercept :___________________
Vertex :___________________
Minimum value :___________________
Axis of symmetry :___________________
Open up or down :___________________
2. f ( x) x 2 6 x 7
Domain :___________________
Range :___________________
X-intercepts :___________________
Y-intercept :___________________
Vertex :___________________
Minimum value :___________________
Axis of symmetry :___________________
Open up or down :___________________
f ( x) 3x 2 2 x 8
3.
Domain :___________________
Range :___________________
X-intercepts :___________________
Y-intercept :___________________
Vertex :___________________
Minimum value :___________________
Axis of symmetry :___________________
Open up or down :___________________
4. f ( x) 6 x 2 12 x
Domain :___________________
Range :___________________
X-intercepts :___________________
Y-intercept :___________________
Vertex :___________________
Minimum value :___________________
Axis of symmetry :___________________
Open up or down :___________________
5. f ( x) ( x 1) 2 3
Domain :___________________
Range :___________________
X-intercepts :___________________
Y-intercept :___________________
Vertex :___________________
Minimum value :___________________
Axis of symmetry :___________________
Open up or down :___________________
f ( x ) x ( x 4)
6.
Domain :___________________
Range :___________________
X-intercepts :___________________
Y-intercept :___________________
Vertex :___________________
Minimum value :___________________
Axis of symmetry :___________________
Open up or down :___________________
7. f ( x) 4 x 2 3x 1
Domain :___________________
Range :___________________
X-intercepts :___________________
Y-intercept :___________________
Vertex :___________________
Minimum value :___________________
Axis of symmetry :___________________
Open up or down :___________________
8. f ( x) x 2 2 x 1
Domain :__________________
Range :___________________
X-intercepts :___________________
Y-intercept :___________________
Vertex :___________________
Minimum value :___________________
Axis of symmetry :___________________
Open up or down :___________________
9. f ( x) x 2 2 x 3
Domain :___________________
Range :___________________
X-intercepts :___________________
Y-intercept :___________________
Vertex :___________________
Minimum value :___________________
Axis of symmetry :___________________
Open up or down :___________________
10. f ( x ) x 2 7 x 10
Domain :___________________
Range :___________________
X-intercepts :___________________
Y-intercept :___________________
Vertex :___________________
Minimum value :___________________
Axis of symmetry :___________________
Open up or down :___________________
Constant Function and Identity Function
Name:_________________________________________Grade&Section:___________Score:___________
Piecewise Function
Name:_________________________________________Grade&Section:___________Score:___________
One-to-one Function
Name:_________________________________________Grade&Section:___________Score:___________
