(d) Explain why you eventually obtained 0 values in part (c). It may help to evaluate just the numerator of h(x) for and 0.0001. Is your calculator giving you the correct values? (e) Graph the function in the viewing rectangle [-1, 1] by [0, 1]. Does the graph corroborate your guess from part (b)? Then change the viewing rectangle to [-0.005, 0.005] by [0.48, 0.52]. Can you explain the appearance of 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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how do i answer the following questions ?? 

The questions (d) and the question (e)??

A graphing calculator is recommended.
Evaluate h(x) = (Vx4
+1-1)*
(a)
for x =
1, 0.5, 0.2, and 0.1. (Round your answers to six decimal places.)
h(x)
0.414213
0.5
0.492422
0.2
0.499800
0.1
0.499987
x* + 1
(b) Guess the value of lim
X→0
(Round your answer to two decimal places.)
0.5
(c) Evaluate h(x) for x =
0.05, 0.01, 0.001, and 0.0001. (Round your answers to six decimal places.)
h(x)
0.05
0.499999
0.01
0.5
0.001
0.5
0.0001
0.5
Enter a number.
Are you still confident that your guess in part (b) is correct?
Transcribed Image Text:A graphing calculator is recommended. Evaluate h(x) = (Vx4 +1-1)* (a) for x = 1, 0.5, 0.2, and 0.1. (Round your answers to six decimal places.) h(x) 0.414213 0.5 0.492422 0.2 0.499800 0.1 0.499987 x* + 1 (b) Guess the value of lim X→0 (Round your answer to two decimal places.) 0.5 (c) Evaluate h(x) for x = 0.05, 0.01, 0.001, and 0.0001. (Round your answers to six decimal places.) h(x) 0.05 0.499999 0.01 0.5 0.001 0.5 0.0001 0.5 Enter a number. Are you still confident that your guess in part (b) is correct?
.05
0.01
0.001
0.0001
Are you still confident that your guess in part (b) is correct?
(d) Explain why you eventually obtained 0 values in part (c). It may help to evaluate just the numerator of h(x) for and 0.0001. Is
your calculator giving you the correct values?
(e) Graph the function in the viewing rectangle [-1, 1] by [0, 1]. Does the graph corroborate your guess from part (b)? Then change
the viewing rectangle to [-0.005, 0.005] by [0.48, 0.52]. Can you explain the appearance of the graph?
Transcribed Image Text:.05 0.01 0.001 0.0001 Are you still confident that your guess in part (b) is correct? (d) Explain why you eventually obtained 0 values in part (c). It may help to evaluate just the numerator of h(x) for and 0.0001. Is your calculator giving you the correct values? (e) Graph the function in the viewing rectangle [-1, 1] by [0, 1]. Does the graph corroborate your guess from part (b)? Then change the viewing rectangle to [-0.005, 0.005] by [0.48, 0.52]. Can you explain the appearance of the graph?
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