Which of the following statements are true regarding the graph of the cubic polynomial f(x) = x3 + bx2 + cx + d?(Give reasons for your conclusions.)(a) It intersects the y-axis in one and only one point.(b) It intersects the x-axis in at most three points. (c) It intersects the x-axis at least once.(d) For I x I very large, it behaves like the graph of y = x3. (e) It is symmetric with respect to the origin.(f) It passes through the origin.

2 A golf ball is struck by a 60-degree golf club at an initial velocity of 90 feet per second. The height of the golf ball in feet is given by the quadratic function h(x) = 16x 77.9 + -x, where x is the 45 (45)² horizontal distance of the golf ball from the point of impact. What is the horizontal distance of the golf ball from the point of impact when the ball is at its maximum height? What is the maximum height obtained by the golf ball? The horizontal distance of the golf ball from the point of impact when the ball is at its maximum height is (Round to two decimal places as needed.) feet.

The following quadratic function is expressed in both its expanded and factored form below: f(x) = 2x² – 7x + 3 = (2x – 1)(x – 3) Choose the correct match for the coordinates of the x and y intercepts of f(x) . y intercept(s) of f(x) x intercept(s) of f(x)

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