Estimate the x-coordinates at which the relative maxima and relative minima occur. ANSWER: x = â 0.5 and 2. 17. State the domain and range of the fu...
Mid-Chapter Quiz: Lessons 5-1 through 5-4 Simplify. Assume that no variable equals 0. 2 –3
3 5
1. (3x y )(–2x y ) ANSWER: 5 2
–6x y
2. 4t(3rt – r) ANSWER: 2
12rt – 4rt 3. ANSWER:
4. ANSWER:
2
2
5. (4m – 6m + 5) – (6m + 3m – 1) ANSWER: 2
–2m – 9m + 6 2
2
6. (x + y)(x + 2xy – y ) ANSWER: 3
2
2
x + 3x y + xy – y
3 3
2
7. MULTIPLE CHOICE The volume of the rectangular prism is 6x + 19x + 2x – 3. Which polynomial expression represents the area of the base?
4
3
2
A 6x + 37x + 59x + 3x – 9 B 6x2 + x + 1 C 6x2 + x – 1 D 6x + 1 ANSWER: C
eSolutions Manual - Powered by Cognero
Simplify.
Page 1
2
2
6. (x + y)(x + 2xy – y ) ANSWER: Mid-Chapter Quiz: Lessons 5-1 through 5-4 3 2 2 3 x + 3x y + xy – y 3
2
7. MULTIPLE CHOICE The volume of the rectangular prism is 6x + 19x + 2x – 3. Which polynomial expression represents the area of the base?
4
3
2
A 6x + 37x + 59x + 3x – 9 B 6x2 + x + 1 C 6x2 + x – 1 D 6x + 1 ANSWER: C Simplify. 3
2
8. (4r – 8r – 13r + 20) ÷ (2r – 5) ANSWER: 2
2r + r – 4
9. ANSWER: 2
3x – x + 4 – 10. Describe the end behavior of the graph. Then determine whether it represents an odd-degree or an even-degree polynomial function and state the number of real zeros.
ANSWER: end behavior: f(x) → as x → –
and f (x) → –
11. MULTIPLE CHOICE Find p (–3) if
as x →
; odd degree function; 3 real zeros .
F0 G 11 H 30 J 36 eSolutions Manual - Powered by Cognero
ANSWER: F
Page 2
ANSWER: end behavior: Mid-Chapter Quiz: Lessons 5-1 through 5-4 f(x) → as x → – and f (x) → – as x →
; odd degree function; 3 real zeros
11. MULTIPLE CHOICE Find p (–3) if
.
F0 G 11 H 30 J 36 ANSWER: F 13. MULTIPLE CHOICE Find
2
2
if f (x) = x + 3x and h(x) = 2x – 3x + 5.
A – a 2 + 15a – 74 2 B – a – 2a – 1 C a 2 + 9a – 2 2
D – a – 9a + 2 ANSWER: D Use f (x) = x 3 – 2x 2 – 3x for Exercises 15–17. 15. Graph the function. ANSWER:
16. Estimate the x-coordinates at which the relative maxima and relative minima occur. ANSWER: x = – 0.5 and 2 17. State the domain and range of the function. ANSWER: D = {all real numbers}, R = {all real numbers} Refer to the graph.
eSolutions Manual - Powered by Cognero
Page 3
x = – 0.5 and 2 17. State the domain and range of the function. ANSWER: Mid-Chapter Quiz: Lessons 5-1 through 5-4 D = {all real numbers}, R = {all real numbers} Refer to the graph.
19. Estimate the x-coordinate of every turning point, and determine if those coordinates are relative maxima or relative minima. ANSWER: maximum at x
1; minima at x
–1.5 and x
4
20. Estimate the x-coordinate of every zero. ANSWER: –2, –0.5, 2.5, 5 21. What is the least possible degree of the function? ANSWER: 4
