1. Consider the function = acos[2(x- a. Create your own equation by choosing a value for a, d, and c: b. Complete the following table: show all calculations Maximum Value: Amplitude: Period: Minimum Value: Describe Phase Shift: Equation of the Axis of the Curve e. Sketch a graph of the function for one cycle. You must show your work by either using the mapping rule or drawing intermediary graphs. Help: D

1) Consider f(x) = 3x4 -8x³ +6 a) Find all critical points of the function (make sure to consider if the derivative is defined everywhere or not!). Label them in increasing order, 21, 22, 23, etc (for how many you find). b) Use the first derivative test to determine if x₁ is a local max, min, or neither. Find the y value associated with this a value and write it as a point (x, y). 1 c) Use the second derivative test to determine if x₂ is a local max, min, or neither. Find the y value associated with this a value and write it as a point (x, y).

QUESTION 1 Determine the coordinates of the y-intercept and x-intercept(s) of the function: y = x2 - 5x - 14 O a.y-intercept (-14, 0); x-intercepts (0, 7), (0, -2) а. O b.y-intercept (0, -14); X-intercepts (-7,0), (2, 0) Ocy-intercept (0, -14); x-intercepts (7, 0), (-2, 0) )d.y-intercept (-14, 0); x-intercepts (0, -7), (0, 2)

3. A child holds a ball 4 feet above the ground and throws it. The ball follows a parabolic path reaching a maximum height of 8 feet when the ball is 3.5 = 7/2 horizontal feet from the boy. Write a function representing the height H of the ball as a function in terms of the horizontal distance d. Equation: NO DECIMALS.