## Transcribed Text

Determine whether the given qnadratic Ú\llction has a minimum value or maximum value. Then find the coordinates of
the mínimum or maximum point.
1) f(x) = x2 + 2x-1
A) maximum; (- 1, - 2)
C) minimum; (-2, - 1)
B) minimum; (-1, - 2)
D) maximum; (- 2, - 1)
1)
Determine whether the function is a polynomial function.
2) f(x) = 7 - x4
6 2) __ _
A) Yes B)No
Find the zeros of the polynomial function. /
3) f(x) = x3 - 10x2 + 25x 3)
A) x=0,x=-5 B)x=0,x=5
C)x=l,x=5 D)x = o, x =- 5, x =5
Determine whether the graph shown is the graph of a polynomial function.
4) 4) __ _
y
X
A) nota polynomial function B) polynomial function
Divide using synthetic division.
5) 4x2 -33x + 54
x-6 5) __ _
A) 4x-9 B)-9x-6 C) x- 9 D)-4x+ 9
Use synthetic division and the Remainder Theorem to find the indicated funciion value.
6) f(x) = 2x3 - 7x2 - 5x + 11; f(-3) 6)
A) -12 1 B) -91 C) -17 D) 57
Given that --3 is a zero of the polynomial function f(x), find ali !he zeros of the function.
7) f(x) = x3 + 2x2 -9x -18 7)
A) {-3, 2, 3} B) (-3} C) (-2} D) (-3, -2, 3}
1
---
V
Find the domain of the rational fonction.
9x
3) f(x) (x + 5)(x + 3)
A) ali real numbers
C) {xlx,o-5,x,o-3,x,o-9}
B) (xlx,o-5,x,o-3}
D) {xlx,o5,x,o3}
Use the graph of the rational function shown to complete the statement.
9)
!O y
8
6
4
2
-2
-4
-6
-8
-10
As X-'>--oo, f(x)-?
A) +oo
246810X
B)-1 C) o
Find the vertical asymptotes, if any, of the graph of the rational function.
X
10) g(x) = - 2
~x
-25
A)x=5
C)x=S,x=-5,x=O
B)x=5,x=-5
D) no vertical asymptote
Find the horizontal asymptote, if any, of the graph of the rational function.
11) f(x) = · -20x
5x3 +x 2 +1
1
A) y=- 4 B)y= -4
D) -oo
C)y=O D) no horizontal asyrnptote
2
8) __ _
9) __ _
10) ---
11)
Use transformations of f(x) = .!. or f(x) = 2- to graph !he rational function.
X x2
1
12) f(x) = --
5
+ 3
x-
12) ____ _
5
-5 5 10 x:
-5
Solve the polynomial inequality and graph the solntion set on a number line. Express the solntion set in interval
notation.
13) x2 - Sx + 12 > O 13)
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
-9 -8 -7 -6 -5 -4 .3 -2 -1 o 1 2 3 4 5 6 7 8 9
A) (-oo, 2) u_ (6, oo)
E 1 1 1 1 1 1 1 1 1 1 ~ 1 1 1 f r 1 1 )
-9 -8 -7 -6 -5 -4 -3 -2 -1 o 3 4 5 7 8 9
B) (2, 6)
E 1 1 1 1 1 1 1 1 1 1 ! 1 1 1 t 1 1 1
-9 -8 -7 -6 -5 -4 -3 -2 -1 O 3 4 5 1 8 9
C) (6, oo)
E 1 1 1 1 1 1 1 1 1 1 1 1 1 1 f 1 1 1 )
-9 -8 -7 -6 -5 -4 -3 -2 -1 o 2 3 4 5 1 8 9
D) (-oo, 2)
~ 1 1 1 1 1 1 1 1 1 1 t 1 1 1 1 1 1 1
-9 -8 -7 -6 -5 -4 -3 -2 -1 o 3 4 5 6 7 8 9
Use the componnd interest formulas A=, 1 + :rt and A= Perl to solve:
14) Find the accumulated value of an investment of $9000 at 5% compounded annually far 6 years. 14)
A) $11,486.53 B) $11,700.00 C) $12,060.86 D) $11,250.00 ---
3
Write the equation in its equivalent logarithmic form.
15)3-2 =l.
9 15) ---
1
A)log 39 =-2
Write the equation in its equivalen! exponential form.
16) logb 64= 3
A) 3b = 64 B) b3 = 64
Evaluate the expression without using a calculator.
17) log5 125
A)3
1
C) lag - =3
-2 9
D) lag 113
3=-2
16)
17)
C) 1 D)15
Solve the rational inequality and graph the solution set on a real number Iine. Express the solution set in interval
notation.
X
---
---
18) --2 > O 18)
X+ ---
( 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 l
-I0-9-8-7-6-5-4-3-2-I O 1 2 345678910
A) (-2, O]
( 1 1 1 1 1 1 1 1 ~ 13 1 1 1 1 1 1 1 1 1 1 l
-10-9-8-7-6-5-4-3- -1 O 1 2 3 4 5 6 7 8 910
C) (-oo, -2] or [O, oo)
El 1 1 1 1 1 l I J 1 [ 1 1 1 1 1 1 1 l l 1)
-I0-9-8-7-6-5-4-3-2-1 O 1 2 3 4 5 6 7 8 910
Find !he domain of the logarithmic function.
19) f(x) = lag3 (x - S)
A)(-8,oo) B)(S,oo)
B) (O, oo)
( 1 1 1 1 1 1 I 1 1 1 ! 1 1 1 1 1 1 1 1 1 1)
-10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8 9 10
D) (-oo,-2) ar(O, oo)
(1 l 1 1 l 1 1 l) 1 h I l l ! 1 1 1 1 1)
-10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8 910
C) (-oo, O) ar (O, oo) D) (-oo, 8) or (8, oo)
Evaluate or simplify the expression without using a calculator. .
20) 1nc?-.
A)2 B) 1 C) e
4
19) ---
20) ---

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