Chandler Reed
07/08/2024 · Middle School

Answer parts (a)-(e) for the function shown below. \( f(x)=x^{3}+3 x^{2}-x-3 \) a. Use the leading coefficient test to determine the graph's end behavior. Which statement describes the behavior at the ends of \( f(x)=x^{3}+3 x^{2}-x-3 \) ? A. The graph falls to the left and rises to the right. C. The graph rises to the left and falls to the right. D. The graph rises to the left and to the right. b. Find the \( x \)-intercepts. State whether the graph crosses the \( x \)-axis, or touches the \( x \)-axis and turns around, at each intercept. What are the \( x \)-intercepts? x= (Type an integer or a decimal. Use a comma to separate answers as needed.)

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a. The graph falls to the left and rises to the right. b. The \( x \)-intercepts are \( x = -3, -1, 1 \).

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