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1. (1 Point) The Graph Shown Is of the Function A. Y=tanx B. Y=cotx C. Y=-tanx D. Y=-cotx

Question

1. (1 point) The graph shown is of the function a. y=tanx b. y=cotx c. y=-tanx d. y=-cotx

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Answer

To determine which function corresponds to the graph, we need to analyze the general behavior of the trigonometric functions provided in the options.### Key Characteristics of Each Function:1. ** :** - The tangent function has vertical asymptotes at , where is an integer. - It increases from negative infinity to positive infinity between consecutive asymptotes. - The graph passes through the origin (0, 0).2. ** :** - The cotangent function has vertical asymptotes at , where is an integer. - It decreases from positive infinity to negative infinity between consecutive asymptotes. - The graph does not pass through the origin but instead crosses the x-axis at .3. ** :** - This is a reflection of across the x-axis. - It has the same vertical asymptotes as ( ). - It decreases from positive infinity to negative infinity between consecutive asymptotes.4. ** :** - This is a reflection of across the x-axis. - It has the same vertical asymptotes as ( ). - It increases from negative infinity to positive infinity between consecutive asymptotes.---### Steps to Identify the Graph:- Check the location of the vertical asymptotes: If they occur at , it must be a tangent-related function ( or ). If they occur at , it must be a cotangent-related function ( or ).- Determine whether the graph increases or decreases between asymptotes: - Increasing: or . - Decreasing: or .---### Final Answer:Without seeing the actual graph, you can use the above characteristics to match the correct function. For example:- If the graph has vertical asymptotes at and decreases between them, the answer is ** **.- If the graph has vertical asymptotes at and increases between them, the answer is ** **.Let me know if you have more details about the graph!