(show all work)

1. identify the extreme values of, f (x) = x^4-4x^3-x^2+12x-2

2. graph and state the domain and range of this function. h(x) = x^2-3x-4 / x-4

3. divide, using long division, (4x^4-5x^3+2x^2-x+5) ÷ (x^2+x+1)

4. divide, using synthetic division. 16x^3+80x^2+x+5 / x+5

5. determine the equations of the asymptotes: g(x)=2x^2+1 / x+3

6. use descartes rule of signs to describe the roots of, h(x) =4x^4-5x^3+2x^2-x+5

7. solve the polynomial equation x^3-6x^2-x+7=0

8. solve the polynomial equation, x^4+x^3-6x^2-14x-12=0

9. write a function with the given characterizes, a polynomial with rational coefficients having roots 3, 3, and 3 − i.

10. write a function with the given characteristics, a rational function with vertical asymptote x = 5 and horizontal asymptote y=1/2

equal to

step-by-step explanation:

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

answer is because 4×10=40

and 98×4= is 392

40,392