1 (Ь) Now consider f(x) Find the error if we were to use the third degree Taylor V4 + x 1 Make your argument as clear as possible. V4.2 polynomial centered at zero to approximate

e polynomial inoqr 3. Find the domain of 7(x)-JaE4, Express the domain in interval notation, SHOW WORK OR NO 3560 CREDIT Let f(x) = 2x +Sx and g(x)=x-3. Find and simplify the following: 4. c. Domain of (f-gXx) in interval notation a. c. d. Domain of (x) in interval notation rval No 5. Let f(x)=x+7 and g(x)= 4x -2. Find and simplify the following a. (fogXx) (gof)(*) b.

Consider f (x) = 2x* – x3 – 5x2 + 2x + 2. 1. List all possible zeros (candidates) for f(x). 2. Define f (x) in your calculator or desmos. Use the graph to narrow down your candidates. Use synthetic division to reduce f (x) to a quadratic expression. Factor the resulting quadratic expression to find the last two zeros. ZEROS: 3. Express f(x) as a product of linear factors. Don't forget to include the value of a!

7. The function shown is a second-order piecewise polynomial, plot the function yourself: 22 y 20 18 16 14 12 10 8 6 0 1 2 3 4 X 10 5 6 7 8

#2: Completely factor the following polynomial functions. a) f(x) = x' – 4x² – 1 1x + 30

Find the linear approximating polynomial for the function centered at a. f(x) = V2x + 49 , a = 0 1 O A. L(x) = -x+7 2 B. L(x) = 7x+7 Oc. L(x) = 7x-7 1 O D. L(x) = x- 7

Use the remainder theormem to find f(-1) when f(x)=