Regents Exam Questions A2.A.41: Functional Notation
Name: ________________________
x 2
14 Given: the function f defined by f x ( ) 3x
2
4 .
18 If f x ( )
, then f n 1
) is equal to
(
x 1
Which statement is true?
f(0) 0
1
1)
1)
2
f(2) f(2)
2)
n 1
f(5) f(2) f(7)
3)
2)
n 2
f(5) f(2) f(10)
4)
n 1
3)
n 2
n 2
4)
n 1
15 If f(x) 3x 4 and g(x) x
2
, find the value of
f(3) g(2) .
19 If f x ( ) x
2
3 , then f(a b) is equivalent to
2
b
2
3
1)
a
2
Ê
ˆ
2
2ab b
2
3
Á Á
˜ ˜
16 If g(x) ax 1 x
2)
, express g(10) in simplest
a
Á
˜
Ë
¯
2
2ab b
2
3
3)
a
form.
2
b
2
3
4)
a
x 4
20 If f x ( ) 4x
2
x 1 , then f(a 1) equals
17 If f x ( )
, then f(4a) equals
x 4
2
a 6
4a
1)
a 1
1)
2
a 4
4a
2)
a 1
7a 6
2
a 1
3)
4a
2)
a 1
2
7a 4
4)
4a
4a 1
3)
4a 1
4a 1
4)
4a 1
21 If f x ( ) 2x
3x 4 , then f x 3
2
) is equal to
(
2
3x 7
2x
1)
2
3x 13
2)
2x
2
9x 13
3)
2x
2
9x 25
2x
4)
22 If f x ( ) kx
2
, and f 2 ( ) 12 , then k equals
1)
1
2)
2
3)
3
4)
4
2