Functional Notation Worksheet Page 2

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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

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