Use the following steps to graph the polynomial function f(x). a. Use the leadin

Question

Use the following steps to graph the polynomial function f(x). a. Use the leading coefficient test to determine the graph's end behavior. What does the graph of f look like? O A. The graph rises to the left and falls to the right. O B. The graph falls to the left and rises to the right. O C. The graph falls to the left and to the right. O D. The graph rises to the left and to the right. b. Find the xintercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. What is/are the x-intercept(s)? x* (Use a comma to separate answers as needed.) What does the graph do at x 1? O The graph crosses the x-axis. O The graph touches the x-axis and turms around. What does the graph do at x 4? O The graph crosses the x-axis. O he graph touches the x-axis and turns around What does the graph do at x 3? O The graph crosses the x-axis O The graph touches the x-axis and turns around Click to select vour answers)

Explanation / Answer

f(x) = (x -1)^2(x+4)(x-3)

highest degree = x^4 and positive coefficient of highest degree = 1

So, polynomial with even degree and +ve coefficient , both ends go up

So, option with D graph rises to left and right

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