Question: 1) (15 points) Given the following function: f(x) = 4x3 + 5x2 - 23x - 6 a) ( 3 pts) Use Rational zero theorem to

1) (15 points) Given the following function: f(x) = 4x3 + 5x2 - 23x - 6 a) ( 3 pts) Use Rational zero theorem to find all possible ratinal zeros = b) (5 pts). Use Synthetic Division to test all the zeros of the function (x-intercepts). c) (1 pt) Find the y-intercept. = d) (2 pts) Describe its end behavior: e) (4 pts) Sketch the graph of f(x). Label all the x and y- intercepts on the graph. Plot at least 7 points on the graph. 40 - 30+ 20- - 10+ 5 x -10+ -20+ -30+ 40+

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