Use a Graphing Utility to Select the Correct Graph $y _ { 1 } \text { and } y _ { 2 }$

question 56

Multiple Choice

Use a graphing utility to select the correct graph $y _ { 1 } \text { and } y _ { 2 }$ in the same viewing window. Use the graphs to determine whether $y _ { 1 } = y _ { 2 }$ Explain your reasoning. $$y _ { 1 } = \cos ( x + 6 ) , y _ { 2 } = \cos x + \cos 6$$

• A) No, \(y _ { 1 } \neq y _ { 2 }\) because their graphs are different.
• B) No, \(y _ { 1 } \neq y _ { 2 }\) because their graphs are Same.
• C) Yes, \(y _ { 1 } = y _ { 2 }\) because their graphs are different.
• D) Yes, \(y _ { 1 } = y _ { 2 }\) because their graphs are same.
• E) No, \(y _ { 1 } = y _ { 2 }\) because their graphs are different.

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Definitions:

Total Output

The total quantity of goods or services produced by a firm, industry, or economy in a specific period.

Marginal Cost

The change in total cost that arises when the quantity produced is incremented by one unit.

Average Total Cost

The total cost of production divided by the total quantity produced, representing the cost per unit of output.

Average Variable Cost

The per-unit variable cost of production, calculated by dividing total variable costs by the quantity of output produced.