1. 2.1 Zeros of Polynomial Functions Study for the quiz!! A rock is tossed into a pond. The radius of the first circular ripple increases at the rate of 2.3 ft/sec/ Determine an algebraic representation for the area of the ripple, and find the area when t = 6 sec.

2. 2.1 Zeros of Polynomial Functions Pg. 83 #49 Since v is velocity of blood, and a blood cell is traveling at 0.975 cm/sec, plug 0.975 in for v. r = 0.003 cm Word Problem!! A bike manufacturer determines the annual cost C of making x bikes to be $85 per bike plus $75,000 in fixed overhead costs. – Clearly define the variables – Write the equation – Properly state the domain and range – Properly graph the equation – Explain (800, 143,000) – Determine how many bikes need to be sold at $150 each to make a profit.

3. 2.1 Zeros of Polynomial Functions Error of a Solution Suppose a graph crosses between two consecutive scale marks a and b and a – b = r. If c is any number in the interval [a, b] determined by the scale marks, c is a solution with error of at most r. Find the middle zero for x 3 – 5x 2 + 6x – 1 = 0 with an error of at most 0.01. – Graph to see where the middle zero is – Set your Xscl to 0.01 and zoom in until you see the zero clearly. – Take notice of where the answer is located.

4. 2.1 Zeros of Polynomial Functions Function Operations If Find:(f + g)(x) (f – g)(x) (fg)(x) (f◦g)(x) (g◦f)(x) Find the domain of each of the above. Remember?!? Completing the Square: – y = x 2 – 8x + 5 – y = 3x 2 + 12x – 9 – y = x 2 + 14x – 60 Solve: – y = x 3 – 1 – y < |x + 3| - 2 – y =

5. 2.1 Zeros of Polynomial Functions y = f(x)Graph the following 1 + f(x + 1) -2f(x) 3f(x) – 2 Solve the following: