I. Find Domain
1. f(x) = x2 - 4
2.
f(x) = x3 + 4x -5
3.
f(x) = x
4.
f(x) = 2
5.
f(x) = 3 - x2
6.
f(x) = 2 / x
7.
f(x) = Ã x
8.
f(x) = 4 / (x - 3)
9.
f(x) = 5x / (3x + 4)
10.
f(x) = 0
11.
12.
13.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
II. Function evaluation: Find
f(2), f(-1), f(a), f(a2),
f(2b), f(2+b), f(x+h)
1.
1. f(x) = x2 - 4
2.
f(x) = x3 + 4x -5
3.
f(x) = x
4.
f(x) = 2
5.
f(x) = 3 - x2
6.
f(x) = 2 / x
7.
f(x) = Ã x
8.
f(x) = 4 / (x - 3)
9.
f(x) = 5x / (3x + 4)
10.
f(x) = 0
11.
12.
13.
13.
14.
15.
III. Graph parabolas I Find vertex, axis of symmetry, max or min value.
1.
f(x) = x2
2.
f(x) = 3x2
3.
f(x) = -x2
4.
f(x) = -2x2
5.
f(x) = x2 +3
6.
f(x) = x2 - 4
7.
f(x) = -2 x2 + 5
8.
f(x) = (x- 2)2
9.
f(x) = (x + 2)2
10.
f(x) = (x - 5)2
11.
f(x) = 3 (x- 2)2
12.
f(x) = -2(x- 2)2
13.
f(x) = 4(x- 2)2
+3
14.
f(x) = (x- 2)2 -
5
15.
f(x) = -3 (x- 2)2 + 6
16.
f(x) = x2 + 6x + 9
17.
f(x) = x2 - 6x + 9
18.
f(x) = x2 + 10x + 25
19.
f(x) = x2 - 12x + 36
20.
f(x) = - x2 + 6x - 9
21.
f(x) = - x2 - 6x - 9
22.
f(x) = 2x2 + 12x + 18
23. f(x) = 3x2 + 30x + 75
24.
f(x) = -5x2 + 50x - 125
25.
f(x) = x2 + 6x + 10
26.
f(x) = x2 + 10x + 27
27.
f(x) = x2 + 10x + 20
28.
f(x) = - x2 + 10x - 30
29.
f(x) = x2 + 8x + 2
30.
f(x) = -2x2 + 20x + 7
31.
f(x) = x2 +5x + 1
32.
f(x) = x2 + 3x + 25
33.
f(x) = -x2 - x +
2
34.
f(x) = x2 - 9x + 5
35.
f(x) = x2 - 7x + 1
IV. Tell if relationship is a 1-1 function. (means is inverse a function)
1.
{(1,2), (3, -1), ( 8, 5)}
2.
{(1,2), (2,4), 3,2), (4, 5)}
3.
{(3,3), 2,2),( 4,4)}
4.
x - 2y = 3
5.
3x + 2y = 1
6.
7 + y = 0
7.
3x - 4 = 2
8.
y = x2 + 2
9.
x3 + y = 1
10.
x + y + x2 = 2
11.
3y5 + 2x2 - 9 = 0
V. Find f-1 for each
1-1 function.
1.
f(x) = x + 5
2.
f(x) = 2x - 5
3.
f(x) = -3x + 5
4.
f(x) = x /3 + 5
5.
f(x) = x/4 + 1/5
6.
f(x) = 1/x + 5
7.
f(x) = 3/(2x) + 5
8.
f(x) = 1 / (x + 5)
9.
f(x) = 2x/ (x - 7)
10.
f(x) = (x + 5)/(x-4)
VI. Graph Parabolas II.
Find x intercepts, vertex, & max or
min value.
1.
f(x) = (x - 3)(x + 5)
2.
f(x) = x2 - 6x + 5
3.
f(x) = - x2 + 3x - 2
4.
f(x) = (3 - x)(3 + x)
5.
f(x) = 2x2 - x - 1
6.
f(x) = (3x + 4)( 2 - 3x )
7.
f(x) = -3x2 - 12x + 36
8.
f(x) = 7x2 - 28