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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

Solutions

Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Without using a calculator, make a rough sketch of the graph.

  1. (a) y = x3
  2. (b) y = (x + 1)3
  3. (c) y = (x − 2)3 + 3
  4. (d) y = 4 − x2
  5. (e) y = x
  6. (f) y = 2 x
  7. (g) y = −2x
  8. (h) y = 1 + x−1

a)

To determine

To sketch: The graph of the function y=x3 without using a calculator.

Explanation

Compute a table for various values of x and then use the value of the function to sketch a smooth curve of y=x3.

x 2 1 0 1 2
y 8</

b)

To determine

To sketch: The graph of the function y=(x+1)3 without using a calculator.

c)

To determine

To sketch: The graph of the function y=(x2)3+3 without using a calculator.

d)

To determine

To sketch: The graph of the function y=4x2 without using a calculator.

e)

To determine

To sketch: The graph of the function y=x without using a calculator.

f)

To determine

To sketch: The graph of the function y=2x without using a calculator.

g)

To determine

To sketch: The graph of the function y=2x without using a calculator.

g)

To determine

To sketch: The graph of the function y=1+x1 without using a calculator.

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