Precalc Test 2 FA 16 For the following problems use the form

Precalc Test 2 FA 16 For the following problems use the formulas A-Pert A-P (1 +n) LO etermine the time (to the nearest tenth) needed to create a balance of $2800 from an nt h) needed to create a balance of $2800 from an initial investment of S2113 that was compounded decimal places) monthly at an interest rate of0.52%. (correct to 2 . 0052 ta3 al ,30-est 3al. 8127 181.8 = 11. Given the function f(x) -x(x+2)(x - 3)2 What is the degree of the polynomial? b. How many bends do you expect? 2) trends cWhat is the solution set (x form)?-3 X2-00 on Describe the end behavior andwhy it is sughrs3x andwhy it is such,ASK3 or False (circle one). The polynomial form of fx) is f(x)+Ax hwon C ow can you tep ou tell?

Solution

f(x)=-x(x+2)(x-3)^2

multiplying on the terms of the right side,we get

f(x)=-x^4 +4x^3+3x^2-18x

Therefore degree=4

And to find the solution set we have to put f(x)=0

-x(x+2)(x-3)^2=0

-x=0, x+2=0, (x-3)^2=0

x=0,x=-2,x=3

solution set is x={-2,0,3}

d) End behaviour

Here the degree is 4 which is even and the leading coefficient is negative

In such case

f(x)->-infinity,x->-infinity

And f(x)->infinity, x-> infinity