Name: ________________________ Class: ___________________ Date: __________
Integrated Math 2 Chapter 3 Review 7. axis of symmetry: x 2 a. f(x) x 2 4x 45
Find the zeros of the function. 1. f(x) 2 x 3 x 4 a. –3, 4 b. –4, 3 c. –12 , 1 d. –3, 2, 4
b. c. d.
8. range: y 25
2. y 2 x 5 x 4 a. 4, 5 b. –5, –4, 2 c. –5, –4 d. 9, 20
a. b. c. d.
a. b. c.
3. x-intercepts: 6 and –4 a. f(x) x 2 x 24 c. d.
d.
f(x) x 2x 3 f(x) x 2 2x 24 f(x) x 2 x 25
c. d.
Find the zero(s) of the function. 10. f(x) x 2 x 30 a. 5, 6 b. 6, 5 c. 30, 1 d. 1, 30
f(x) x 2 8x 48 f(x) x 2 4x 36 f(x) x 2 8x 20
11. f(x) 2x 2 6x 4 a. 2, 3 b. 3, 2 c. 1, 2 d. 2, 1
5. passes through (–2, 0) (8, 0) and (2, –24) a. f(x) x 2 3x 16 b. c. d.
f(x) x 2 6x 16 f(x) x 2 3x 25 f(x) x 2 6x 16
12. y 2x 2 14x 88 a. 11, 4 b. 7, 44 c. 4, 11 d. 44, 7
6. passes through (–2, 0) (10, 0) and (2, –32) a. f(x) x 2 4x 20 b. c. d.
f(x) x 2 4x 4 f(x) x 2 4x 12 f(x) x 2 8x 12 f(x) x 2 8x 33
2
4. x-intercepts: –2 and 10 a. f(x) x 2 4x 20 b.
f(x) x 2 4x 25 f(x) x 2 4x 9 f(x) x 2 8x 9 f(x) x 2 8x 9
9. range: y 4
Choose the quadratic function in standard form whose graph satisfies the given condition(s).
b.
f(x) x 2 2x 49 f(x) x 2 2x 45 f(x) x 2 4x 12
f(x) x 2 8x 20 f(x) x 2 8x 20 f(x) x 2 4x 36
1
ID: A
Name: ________________________
ID: A
13. Which of the following describe the equation y 5x 2 20x 18? a. b. c.
14. Which of the following describe the equation y 2x 2 4x ? a. b. c.
maximum value: 2 axis of symmetry: x 4 vertex: (4, –18) minimum value: 2
d.
e. f. g.
minimum value: 2 maximum value: 0 axis of symmetry: x 2 vertex: (2, 0)
d.
domain: y 2 range: all real numbers minimum value: –18 axis of symmetry: x 2 vertex: (2, 2) axis of symmetry: x –20 vertex: (–20, –18)
e. f. g.
h.
domain: all real numbers range: y 2 axis of symmetry: x 4 vertex: (4, 0) maximum value: 2 axis of symmetry: x 1 vertex: (1, 2)
h.
domain: all real numbers range: y 2
domain: y 2 range: all real numbers
2
Name: ________________________
ID: A
Graph the quadratic function. Label the vertex, axis of symmetry, and x-intercepts. Describe the domain and range of the function.
17. h(x) x 2 8x 7
15. h(x) x 1 x 3
18. f(x) 4x 2 16x
16. y 3 x 4 x 2
3
ID: A
Integrated Math 2 Chapter 3 Review Answer Section 1. ANS: A PTS: 1 DIF: Level 1 REF: Math2 Sec. 3.5 KEY: zero of a function | intercept form NOT: Example 3 2. ANS: C PTS: 1 DIF: Level 1 REF: Math2 Sec. 3.5 KEY: zero of a function | intercept form NOT: Example 3 3. ANS: C PTS: 1 DIF: Level 2 REF: Math2 Sec. 3.5 KEY: standard form of a quadratic equation NOT: Example 6 4. ANS: D PTS: 1 DIF: Level 2 REF: Math2 Sec. 3.5 KEY: standard form of a quadratic equation NOT: Example 6 5. ANS: D PTS: 1 DIF: Level 2 REF: Math2 Sec. 3.5 KEY: standard form of a quadratic equation NOT: Example 6 6. ANS: B PTS: 1 DIF: Level 2 REF: Math2 Sec. 3.5 KEY: standard form of a quadratic equation NOT: Example 6 7. ANS: A PTS: 1 DIF: Level 2 REF: Math2 Sec. 3.5 KEY: standard form of a quadratic equation NOT: Example 6 8. ANS: D PTS: 1 DIF: Level 2 REF: Math2 Sec. 3.5 KEY: standard form of a quadratic equation NOT: Example 6 9. ANS: C PTS: 1 DIF: Level 2 REF: Math2 Sec. 3.5 KEY: standard form of a quadratic equation NOT: Example 6 10. ANS: B PTS: 1 DIF: Level 1 REF: Math2 Sec. 3.5 KEY: zero of a function NOT: Example 4 11. ANS: D PTS: 1 DIF: Level 1 REF: Math2 Sec. 3.5 KEY: zero of a function NOT: Example 4 12. ANS: C PTS: 1 DIF: Level 1 REF: Math2 Sec. 3.5 KEY: zero of a function NOT: Example 4 13. ANS: A, F, H PTS: 1 DIF: Level 2 REF: Math2 Sec. 3.3 KEY: axis of symmetry | vertex of a parabola | graphing f(x) = ax^2 + bx + c | domain | range of a function | maximum value | minimum value NOT: Combined Concept 14. ANS: A, D, G PTS: 1 DIF: Level 2 REF: Math2 Sec. 3.3 KEY: axis of symmetry | vertex of a parabola | graphing f(x) = ax^2 + bx + c | domain | range of a function | maximum value | minimum value NOT: Combined Concept
1
ID: A 15. ANS:
domain: all real numbers, range: h(x) 4 PTS: 1 DIF: Level 1 REF: Math2 Sec. 3.5 KEY: graphing f(x) = a(x – p)(x – q) | intercept form | domain | range of a function NOT: Example 1 16. ANS:
domain: all real numbers, range: y 27 PTS: 1 DIF: Level 1 REF: Math2 Sec. 3.5 KEY: graphing f(x) = a(x – p)(x – q) | intercept form | domain | range of a function NOT: Example 1 2
ID: A 17. ANS:
domain: all real numbers, range: h(x) 9 PTS: 1 DIF: Level 1 KEY: domain | range of a function 18. ANS:
REF: Math2 Sec. 3.5 NOT: Example 2
domain: all real numbers, range: f(x) 16 PTS: 1 DIF: Level 1 KEY: domain | range of a function
REF: Math2 Sec. 3.5 NOT: Example 2
3
