HELP ME ANSWER THIS REVIEW AND EXPLAIN HOW TO SOLVE EACH ONE OF THEM WITH YOUR OWN EXAMPLES AND WORDS

an Backspace 1. Solve: -5(x - 3) + 14 = 4x +5-7x Practice for Final Exam - Math 1314 - Chapters 1 & 2 -5 ( X- 3 )= - 5x+15 -5xHist /4=4x+5-7x 1 x-7x = - 3x - SX+29 +5x= - 3x+5+5x -5X+29 = 1/xts- 7x - JX + 29 = - 3x45 29= 2x+5 2. Give the domain for the functions: a) y =- b ) y = V 2 x + 3 -) 2x+ 3/20 29-5=2x+5- 5 x+1 XAIXO 78 - 3 24=2X X X -1 ( - 0 0 , - 1) U(- 1,03 ) 24 3. Use the graph below to answer the following questions: 3 L- J R 12 = X X Domain: -C.9 Range : [ - 8 .7 ) X2 - 1 .5 O LI.S, A On what interval is the graph decreasing? ( - 1. 6 ) increasing Find the value of f(1) 4 Is the graph a function? 0 = X+ 2x- 15 24 1 1 29 Radical equation 0 = (xts ) ( X-3) 4. Solve: x2 + 2x - 24= 0 2 12 5. Solve: V2x + 19 = x +2 ( * +6 ) ( X4 )= 0 48 2 X +19 = (x+2) (x+2 ) * = 8-5,3 3 X+ 6 = 0 X4 4 = 0 2 x +19 - - 6 5 - 6 - 4: 4 2 x +19 = x 2+1 + 2xtext4 fixty 2x - M = X2- 4x+4 6. Write the equation of a line through (3, -2) with a slope of 1/2. Answer in any form. Y-y,=m(X-x.) y- - 2: 12 (X- 3) 7+2-1/2(x-3) 7. Given h(x) = 4x2 - 1 and p(x) { x + 3, find the following: a) p(x) -h(x) b) (p . h)(x) 520 ( X + 3 ) - (4 x 2-1) 2 X+3 4XH A = - 4x2txt4 8. Find the inverse function of f(x) = x3 - 2 4x3 - X DY = X3-2 2 x = y3-2 3X+2=y3 (oy= jx+2 12X2 - 3 (x +12x- X- 3 x'S x = ( 9. Sketch the following graphs: a) y = x3 - 4 b) y = Vx - 2+1 c ) y = lx+1/ +5 d) y = - (x - 4) 2 - 2 e ) y = Vx-5-4 e ) a D)Del Pgon F12 End Practice for Final Exam - Math 1314 - Chapters 3 - 5 & 2 1. An archer's arrow follows a parabolic path. The height of the arrow is given by h(x) = -0.005x2 + 2x + 5, where x is the arrow's horizontal distance in feet. What is the maximum height of the arrow and how far from its release does this occur? X =-b 20 9 : - 0.005 X : - 2 6: 2 2.-0.005 --0.01 = 200 ( 200) = 0.005 ( 200)2+ 2( 200)+5 2. For the function f(x) = 3(x 7 2)(x + 3)(x - 1) Traveling 200? = 40,000 just = 1 4 - 3 x= 1 O . 005 . 40,000 = - 200 a) List the zeroes and their multiplicities. 200 feet Forward 2. 200 = 400 b) Describe the end behavior of the graph. -> even degree - 200 +400+ 5=205 - >maximum haight c) Find the y-intercept. - 18 d) Sketch the graph. 3. List the possible rational zeros for the function f(x) = x3 - x2 - 4x - 6. If the function has a zero at x = 3, find the remaining roots. 4. For the function f(x) = *+3 fi x-1, find the following: a) x-intercept b) y-intercept ) X+ 320 X : - 3 (-3.0 ) c) equation for vertical asymptote d) equation for horizontal asymptote 3) F(0)= 0+3 3 ( 01- 3 ) X -1=0 |X= 1 * = 1 Y = 1 0-1 = T = 3 5. Solve and graph : x2 - 3x - 10