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Chapter 5 Review Worksheet Graph the function. Estimate the x-coordinates of each real zero. Estimate the xcoordinate at which the relative maxima and minima occur. 1. f(x) = ๐ฅ ! โ 3x + 1 x
f(x)
โ3 โ2 โ1 0 1 2 3
For Questions 2-6, use the graph shown at the right. 2. Determine the values of x between which a real zero is located. A between โ1 and 0 B between 6 and 7 C between โ2 and โ1 D between 2 and 3 3. Estimate the x-coordinate at which a relative minimum occurs. A0 B -1,2 C2 D -โ 4. Describe the end behavior of the graph. A as xโ โโ, ๐ ๐ฅ โ โ B as xโ โโ, ๐ ๐ฅ โ โโ as xโ โ, ๐ ๐ฅ โ โ as xโ โ, ๐ ๐ฅ โ โโ C as xโ โโ, ๐ ๐ฅ โ โ as xโ โ, ๐ ๐ฅ โ โโ 5. State the number of real zeros. A1 B 2 C 3
D as xโ โโ, ๐ ๐ฅ โ โโ as xโ โ, ๐ ๐ฅ โ โ
D none
6. Determine whether the graph represents an odd-degree or an even-degree polynomial function. What is the degree of this function? A odd; 1 B odd; 3 C even; 2 D even; 4
Chapter 5
Glencoe Algebra 2
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7. Simplify (๐ฅ ! โ 2x โ 35) รท (x + 5). F ๐ฅ ! โ x โ 30 Gx+5
Hxโ7 J ๐ฅ ! + 3๐ฅ ! โ 45x โ 175
8. Factor ๐ ! โ 7m2 + 18 completely. F (m + 2)(m โ 9) G (m2 + 2) (m + 3) (m โ 3)
H (m2 + 2)(m2 โ 9) J prime
9. State the number of real zeros for the function whose graph is shown at the right. A0 C2 B1 D3
10. Solve ๐ฅ ! โ 13๐ฅ ! + 36 = 0. A โ3, โ2, 2, 3 B โ9, โ4, 4, 9
Answers:
C 2, 3, 2i, 3i
D โ2, โ3, 2i, 3i
2. C 3. C
11. One factor of ๐ฅ ! + 4๐ฅ ! โ 11x โ 30 is x + 2. Find the remaining factors. A x โ 5, x + 3 B x โ 3, x + 5 C x โ 6, x + 5 D x โ 5, x + 6
4. D
โ 12. Factor ย ย 8๐ฅ ! โ 125๐ฆ ! A (2x โ 5y)(4x2 + 10xy โ 25y2) C (2x + 5y)(4x2 โ 10xy + 25y2)
6. B B (2x โ 5y)(4x2 + 10xy + 25y2) D (8x โ 125y)(64x2 + 1000x + 15,635)
5. A
7. H 8. G 9.
โ2
13.
14.
2
y2 A 2 x
" x 2 % " y2 % $ โ1 ' $ โ1 ' #y & #x & 1 B x2
Simplify:
4x3y-6 + (x-1y2) -3
4x 6 A 12 y
5 B 3 6 x y
Simplify:
A
10. A 2 2
C x y
11. B
y2 D x6
12. B 13. A 14. C
5x 3 C y6
3 6
D 5x y
15. C
15. Find the value of k so that x โ 3 divides into 2x3 โ 11x + k with no remainder. A -15 Chapter 5
B 15
C -21
D 21 Glencoe Algebra 2
