Mat 110 - final exam review QUESTIONS WITH DETAILED VERIFIED ANSWERS.

Mat 110 - final exam review
QUESTIONS WITH DETAILED VERIFIED
ANSWERS

F(x) = -2x + 1
G(x) = x^2 - 2x + 5
(F + G) (-2) - answer F(-2) + G(-2)
5+13 = 18


F(x) = 3x + 2
G(x) = 2x + 5
F (g(x)) - answer 3(2x+5) + 2
6x + 15 + 2
6x + 17


Graph of lines, slanted line from -2 to -oo, disconnect, constant
line at -2 to 3, downhill line from 3 to oo - answer Increasing: (-
oo, -2)
Decreasing: (3, oo)
Constant: (-2, 3)
Domain: (-oo,oo)
Range: (-oo, 1)


-sq x + 1 rt. + 2 - answer Graph equation

, Y = ( -2x+1 x <_ -1 )(3x-4 x> 1) F(-1) =
F(2) = - answer F(-1) = -2 (-1) = 3
F (2) = 3(2) - 4 = 2


Write the zeros of the graph on #41 - answer X = -3 , x = 0 mult.
2, x=6
(X+3)(x^2)(x-6)
Y= -x^2(x+3)(x-6)


Find the zeros of 2x^3 - 9x^2 + 11x - 28 - answer Plug into y=
on calc to find 1st zero, x = 4
Synthetic division with 4
2x^2 - x + 7
Quadratic form to factor
1 +- i sq. 55 rt.
Over 4


Solve
Y = x^2 - 6
-2x + y = 9 - answer 2x+9 = x^2 - 6
0 = x^2 - 2x - 15
(X-5)(x+3)
X = 5 & X = -3
2(5) + 9 = 19 (5,19)