Graph the curve, y=x²/3 + 1 1/3 X Explain the relationship between the curve's formula and the graph

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
2/3
Graph the curve, y = x²
+
O A.
Choose the correct graph below.
✪
1
1/3
N
X
B.
Explain the relationship between the curve's formula and the graph.
N
C.
3-
X
N
Choose the correct relationship between the curve's formula and the graph.
D.
조
N
O A. As x→0 the denominator of the curve's formula becomes zero. The limits of the function are
- ∞ as x→0* and ∞o as x→0. From the graph it can be observed that the line x = 0 is a
vertical asymptote from the left.
OB. As x→0 the denominator of the curve's formula becomes zero. The limits of the function are
∞ as x→0* and -∞ as x→0. From the graph it can be observed that the line x = 0 is a
vertical asymptote from the right.
OC. As x→0 the denominator of the curve's formula becomes zero. The limits of the function are
- ∞ as x→0* and ∞ as x→0. From the graph it can be observed that the line x = 0 is a
vertical asymptote both from the right and from the left.
O D. As x→0 the denominator of the curve's formula becomes zero. The limits of the function are
∞ as x→0¹ and -∞ as x→0. From the graph it can be observed that the line x = 0 is a
vertical asymptote both from the right and from the left.
Transcribed Image Text:2/3 Graph the curve, y = x² + O A. Choose the correct graph below. ✪ 1 1/3 N X B. Explain the relationship between the curve's formula and the graph. N C. 3- X N Choose the correct relationship between the curve's formula and the graph. D. 조 N O A. As x→0 the denominator of the curve's formula becomes zero. The limits of the function are - ∞ as x→0* and ∞o as x→0. From the graph it can be observed that the line x = 0 is a vertical asymptote from the left. OB. As x→0 the denominator of the curve's formula becomes zero. The limits of the function are ∞ as x→0* and -∞ as x→0. From the graph it can be observed that the line x = 0 is a vertical asymptote from the right. OC. As x→0 the denominator of the curve's formula becomes zero. The limits of the function are - ∞ as x→0* and ∞ as x→0. From the graph it can be observed that the line x = 0 is a vertical asymptote both from the right and from the left. O D. As x→0 the denominator of the curve's formula becomes zero. The limits of the function are ∞ as x→0¹ and -∞ as x→0. From the graph it can be observed that the line x = 0 is a vertical asymptote both from the right and from the left.
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