Q1: Let f (x) = 0.2x2 – 5x +7. Find the x-coordinate of the vertex. Round your answer to 2 decimal places.
Q2: Does f(x) = -3x2 + x – 1 have a maximum value or a minimum value?
Q3: Find the range of f(x) = x2 – 6x + 3.
Q4: Suppose that an object is projected in such a way that its height above the ground in feet after t seconds is given by s(t) = -8t2 + 24t + 7. Find the maximum height of the object.
Q5: Consider the function f(x) = (x +3)3(x + 2)6. Determine whether the graph touches the x-axis or crosses the x-axis at x = -3 and x = -2.
Q6: Find the x- and y-intercepts of f(x) = 2(x + 1)(x + 2)(x – 3).