Questions from General Calculus


Q: The graph of the function f (x) =

The graph of the function f (x) = 2x2 – 1 / .5x2 + 6 has a horizontal asymptote of the form y = c. Estimate the value of c by graphing f (x) in the window [0, 50] by [-1, 6].

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Q: Simultaneously graph the functions y = 1/x + x

Simultaneously graph the functions y = 1/x + x and y = x in the window [-6, 6] by [-6, 6]. Describe the asymptote of the first function.

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Q: Refer to graphs (a)–(f) in Fig. 19

Refer to graphs (a)–(f) in Fig. 19. Figure 19: Which functions are increasing for all x?

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Q: Refer to graphs (a)–(f) in Fig. 19

Refer to graphs (a)–(f) in Fig. 19. Figure 19: Which functions are decreasing for all x?

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Q: Refer to graphs (a)–(f) in Fig. 19

Refer to graphs (a)–(f) in Fig. 19. Figure 19: Which functions have the property that the slope always increases as x increases?

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Q: Differentiate. y = √(1 + x + x2

Differentiate. y = √(1 + x + x2)

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Q: Refer to graphs (a)–(f) in Fig. 19

Refer to graphs (a)–(f) in Fig. 19. Figure 19: Which functions have the property that the slope always decreases as x increases?

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Q: Describe the following graph. /

Describe the following graph.

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Q: Describe the following graph. /

Describe the following graph.

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Q: Which one of the graphs in Fig. 18 could represent a

Which one of the graphs in Fig. 18 could represent a function f (x) for which f (a) > 0, f ‘(a) = 0, and f ’’(a) Figure 18:

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