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Functions Review
Functions Review
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Questions
18
Answers
1
The mathematical operations used with functions are addition, subtraction, multiplication, division and composition
True
False
2
Evaluate f(
x
) =x^2+1forf\left(-1\right).
0
undefined
2
3
If f\left(x\right)=2x, then f^{-1}\left(x\right)=
-2x
\frac{1}{2}x
x-2
4
Evaluate the function f(
x
) = x^2+1 for f(2).
1
5
7
5
Which of the following functions has an inverse that is
not
a function?
y=2x+1
y=x
y=x^2
6
Evaluate f(2)
1
7
1/3
7
What is the ordered pair of f(3)?
( 3 , 10 )
( 3 , 2/3 )
( 10 , 3 )
8
If ƒ(a) = K, then which of the following must be true?
f^{-1}\left(k\right) = a
ƒ(K) = a
f^{-1}\left(a\right) = K
9
The inverse of a function is a function.
always
never
sometimes
10
If
g\left(x\right)=3x-5, then g^{-1}\left(x\right)=
\frac{x+5}{3}
\frac{x}{3}+5
3x-5
11
What is the ordered pair of f^{-1}\left(10\right)?
( 10 , 31 )
( 3 , 10 )
( 10 , 3 )
12
If f(
x
) = x^2 + 1 and g(
x
) = 3
x
+ 1, find f(2) + g(3).
5/3
15
12
13
Evaluate f(
x
) =
x^2+1
for f(10).
101
2\sqrt{2}
21
14
Evaluate f^{-1}(7)
2
22
-2
15
If g(
x
) = 3
x
+ 1, evaluate g(-14).
-10
-5
-41
16
Let R={0, 1, 2, 3} be the range of h(
x
) =
x
- 7. The domain of h^{-1}\left(x\right) is
{0, 1, 2, 3}
{7, 8, 9, 10}
{-7, -6, -5, -4}
17
If g(
x
) = 3
x
+ 1, evaluate g(-2).
2
5
-5
18
If f(
x
) = x^2+1 and g(
x
) = 3
x
+ 1, find g(20) + f(6).
98
74
420
