ICNS015 Refresher Mathematics
Exercises #8
Name_______________________________________________ Student ID_________________________ Section_______
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
1) The domain of f(s) = 9 - 5s is all real numbers s such that
9
5
5
.
.
A) s
B) s
C) s - .
5
9
9
2) The domain of f(x) =
A) x -
3
.
2
E) s
1)
5
.
9
1
consists of all real numbers x such that
2x + 3
B) x >
2
.
3
3) If f(x) = 21 - 2x + x, then f(-2) =
A) 17 -2.
B) 7.
4) If f(x) = (4x 2 + 1)2 , then f A) 4.
D) s
9
.
5
C) x
2
.
3
D) x
2)
3
.
2
E) x > -
3)
C) -7.
D) 0.
E) 3.
1
=
2
B) -1.
5) If g(x) = 2x2 - 3x + 4, then g(0) - g(2) =
A) -14.
B) -2.
3
.
2
4)
C) 0.
D) 3.
E) 2.
C) 14.
D) 2.
E) 0.
5)
6) If f(x) = -x 2 - 2x - 6, then f(2) - f(t) =
A) -t2 - 2t + 4.
B) -4t2 - 4t + 6.
C) t2 - 2t + 4.
D) -t2 + 6t - 2.
E) t2 + 2t - 8.
6)
7) If f(x) = 2x 2 - 3x + 4, then f(x + 1) =
A) 2x 2 - 3x + 5.
B) 2x 2 + x + 6.
C) 2x 2 - 3x.
D) 2x 2 + 4x + 7.
E) 2x 2 + x + 3.
7)
8) If f(t) = (t + 4)2 , then f(t - 3) =
A) t2 + 8t + 13.
B) t2 + 1 + 1.
C) t2 + 4t + 13.
D) t2 + 8t + 19
E) t2 + 2t + 1.
8)
1
9) If f(x) = x 2 - 3x + 4, then f (2 + h) - f(2) =
A) h 2 + h.
B) h 2 + h - 4.
C) h 2 - 3h + 4.
D) h 2 - 3h - 4.
E) h.
9)
10) If F(t) = (t2 + 4)3 , then F(t2 + 1) =
A) (t2 + 5)3 .
B) (t2 + 5)3 + 1.
C) (t2 + 1)3 + 4.
D) (t4 + 2t2 + 5) 3.
E) (t2 + 1)3 .
11) If f(x) = 4x + 5, then
A) 4h.
10)
f(x + h) - f(x)
=
h
B) 0.
12) If f(x) = x 2 + 3x - 8, then
11)
C)
4x + h + 5
.
h
D) 1.
E) 4.
f(x + h) - f(x)
=
h
12)
A) 1.
B) 0.
C) 2x + h + 3.
h 2 + 3h - 8
.
D)
h
E) 4x + 3h - 2.
13) Exactly how many of the following equations define y as a function of x?
(a) y = 7 - x
(b) y 2 = 4x
(c) y = x
(d) x 2 = y + 4
A) none
B) one
C) two
D) three
14) Which equation below defines y as a function of x?
A) x 2 + y 2 = 9
x
B) = y
y
13)
E) all
14)
C) y = ± 4 - x 2
D) 3y - x 2 = 0
E) 3x - y 2 = 0
2