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Functions
Test Description: First test
Instructions: Answer all questions to get your test result.
1) Is the following a Function? (2,3) (4,7) (3,9) (5,7)
A
no
B
yes
2) Which point will make the following not a function? (3,7) (2,4) (5,2) (6,3)
A
(10,12)
B
(3,12)
C
(8,7)
D
(9,12)
3) A function is a relation where the input is mapped to ________ output
A
one
B
all
C
many
4) What is the domain
A
output values
B
home
C
input values
5) What is range
A
space
B
output vaues
C
input values
6) What is the domain for the following function? (2,3) (4,7) (3,9) (5,7)
A
3,7,9
B
2,3,4,5
7) What is the range for the following function? (2,3) (4,7) (3,9) (5,7)
A
3,7,9
B
2,3,4,5
8) If f(x) = 4x - 3. find f(9)
A
10
B
3
C
33
D
10
9) If f(x) = 4x - 3. find f(-4)
A
-3
B
-25
C
-19
D
10
10) Evaluate f(x)=-2t^2+ 1 for f(2)
A
-7
B
17
C
9
D
-17
11) Given the functions f(x) = x^2 − 8 and g (x) = −2 − x^2 , determine the equation for the combined function y = f(x) + g (x).
A
4 − x
B
−6 − 2x^2
C
16 − x^4
D
−10
12) Given the functions f(x) = x^3 − 81x and g (x) = x + 9, determine the simplified equation for the combined function y = f(x)/g (x) .
A
x/(x + 9) , x ≠ −9
B
x(x + 9), x ≠ −9
C
x(x − 9), x ≠ −9
D
x/(x − 9) , x ≠ −9, 9
13) Given the functions f(x) = x + 3 and g (x) = 1/(x − 3), what is the simplified form of f(g(x))?
A
f(g(x)) = 1/x , x ≠ 0
B
f(g(x)) = (3x − 8)/(x − 3) , x ≠ 3
C
f(g(x)) = − 8/x , x ≠ 0
D
f(g(x)) = (3x − 8)/((x + 3) , x ≠ −3
14) Given the functions f(x) = x^2 − 8 and g (x) = −5 − x, determine an equation for the combined function h (x) = f(g (x)).
A
y = −x^2 − 13
B
y = x^2 + 10x + 17
C
y = −x^2 + 3
D
y = x^2 − 10x + 3
15) Given f(x) = 9x^2 + 7x and g (x) = 2 − x, determine 5g(x) − f(x)
A
45x^2 + 6x − 5
B
9x^2 + 6x + 2
C
−9x^2 − 12x + 10
D
45x^2 + 36x − 2
16) For f(x) = 2x + 3 and g(x) = -x^2 + 1, find the composite function defined by (f o g)(x)
A
-2x^2 - 5
B
- 2x^2 + 5
C
x^2 + 4
D
2x^3 + 5
17) If f(x) = 2x + 1 and g(x) = x+1, evaluate f(g(4)).
A
10
B
19
C
11
D
9
18) If f(x) = 2x + 1 and g(x) = x + 1, write the composite function f(f(x)).
A
f(g(x)) = 2x+3
B
f(f(x)) = 4x+4
C
g(g(x)) = x+2
D
f(f(x)) = 4x+3
19) If f(x) = x/2 and g(x) = x + 5, evaluate g(f(6)).
A
8
B
11/12
C
3
D
11
20) Which of the following is the inverse relation to the set of ordered pairs (–10, 5), (–7, 9), (0, 6), (8, –12)?
A
(10, –5), (7, –9), (0, –6), (–8, 12)
B
(5, –10), (9, –7), (6, 0), (–12, 8)
C
(–5, 10), (–9, 7), (–6, 0), (12, –8)
D
(–10, –5), (–7, –9), (0, –6), (8, 12)
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