Problem 1RE: Given fx=x+52+2, identity the vertex of the graph of the parabola. Problem 2RE: For Exercises 2-3, a. Write the equation in vertex form: fx=axh2+k. b. Determine whether the... Problem 3RE: For Exercises 2-3, a. Write the equation in vertex form: fx=axh2+k. b. Determine whether the... Problem 4RE: a. Use the vertex formula to determine the vertex of fx=2x2+12x+19. b. Based on the location of the... Problem 5RE: Suppose that a farmer encloses a corral for cattle adjacent to a river. No fencing is used by the... Problem 6RE: Suppose that p is the probability that a randomly selected person is left-handed. The value 1p is... Problem 7RE: The annual expenditure for cell phones and cellular service varies in part by the age of an... Problem 8RE: For Exercises 8-11, a. Determine the end behaviour of the graph of the function. b. Find all the... Problem 9RE: For Exercises 8-11, a. Determine the end behaviour of the graph of the function. b. Find all the... Problem 10RE: For Exercises 8-11, a. Determine the end behaviour of the graph of the function. b. Find all the... Problem 11RE Problem 12RE: Determine whether the intermediate value theorem guarantees that the function has on zero on the... Problem 13RE: For Exercises 13-16, determine if the statement is true or false. If a statement is false, explain... Problem 14RE: For Exercises 13-16, determine if the statement is true or false. If a statement is false, explain... Problem 15RE: For Exercises 13-16, determine if the statement is true or false. If a statement is false, explain... Problem 16RE: For Exercises 13-16, determine if the statement is true or false. If a statement is false, explain... Problem 17RE: For Exercises 17-18, a. Divide the polynomials. b. Identify the dividend, division, quotient, and... Problem 18RE: For Exercises 17-18, a. Divide the polynomials. b. Identify the dividend, division, quotient, and... Problem 19RE: For Exercises 19-20, use synthetic division to divide the polynomials. 2x5+x25x+1x+2 Problem 20RE: For Exercises 19-20, use synthetic division to divide the polynomials. x4+3x3x2+7x+2x3 Problem 21RE Problem 22RE: For Exercises 21-22, use the remainder theorem to evaluate the polynomial for the given values of x.... Problem 23RE: For Exercises 23-24, use the remainder theorem to determine if the given number c is a zero of the... Problem 24RE: For Exercises 23-24, use the remainder theorem to determine if the given number c is a zero of the... Problem 25RE: For Exercises 25-26, use the factor theorem to determine if the given binomial is a factor of the... Problem 26RE: For Exercises 25-26, use the factor theorem to determine if the given binomial is a factor of the... Problem 27RE: Factor fx=15x367x2+26x+8, given that 23 is a zero of fx. Problem 28RE: Write a third-degree polynomial fx with zeros 1,32,and32. Problem 29RE: Write a third-degree polynomial fx with integer coefficients and zeros of 14,12, and 3. Problem 30RE: Given fx=2x57x4+9x318x2+4x+40, a. How many zeros does fx have (including multiplicities)? b. List... Problem 31RE: Given fx=x4+4x3+2x28x8, a. How many zeros does fx have (including multiplicities)? b. List the... Problem 32RE Problem 33RE: Given fx=x422x3+119x2+66x366 and that 11i is a zero of fx . a. Find all the zeros of fx . b. Factor... Problem 34RE: Write a polynomial fx of lowest degree with real coefficients and with zeros 23i (multiplicity 1)... Problem 35RE: Write a third-degree polynomial fx with integer coefficients and with zeros of 2iand53. Problem 36RE: For Exercises 36-37, determine the number of possible positive and negative real zeros for the given... Problem 37RE: For Exercises 36-37, determine the number of possible positive and negative real zeros for the given... Problem 38RE: For Exercises 38-39. a. Determine if the upper bound theorem identifies the given number as an upper... Problem 39RE: For Exercises 38-39. a. Determine if the upper bound theorem identifies the given number as an upper... Problem 40RE: Refer to the graph of y=fx and complete the statements. a.Asxfx.b.Asx2,fx.c.Asx2+,fx.d.Asx,fx. e.... Problem 41RE: For Exercises 41-42, determine the vertical asymptotes of the graph of the function. fx=x+42x2+x15 Problem 42RE: For Exercises 41-42, determine the vertical asymptotes of the graph of the function. gx=5x2+3 Problem 43RE Problem 44RE: For Exercises 43-45, a. Determine the horizontal asymptotes (if any). b. If the graph of the... Problem 45RE Problem 46RE Problem 47RE Problem 48RE Problem 49RE: For Exercises 48-51, graph the function. kx=x2x2x12 Problem 50RE: For Exercises 48-51, graph the function. mx=x2+6x+9x Problem 51RE: For Exercises 48-51, graph the function. qx=12x2+6 Problem 52RE: After taking a certain class, the percentage of material retained Pt decreases with the number of... Problem 53RE Problem 54RE: The graph of y=fx is given. Solve the inequalities. fx0fx0fx0fx0 Problem 55RE Problem 56RE Problem 57RE: For Exercises 57-66, solve the inequalities. tt318 Problem 58RE: For Exercises 57-66, solve the inequalities. w3+w29w90 Problem 59RE Problem 60RE: For Exercises 57-66, solve the inequalities. 6x43x42x+230 Problem 61RE: For Exercises 57-66, solve the inequalities. z33z210z24 Problem 62RE Problem 63RE: For Exercises 57-66, solve the inequalities. 62xx20 Problem 64RE Problem 65RE: For Exercises 57-66, solve the inequalities. 3x22x Problem 66RE Problem 67RE: A sports trainer has monthly costs of $80 for phone service and $40 for his website and advertising.... Problem 68RE: A Child throws a ball straight upwards to his friend who is sitting in a tree 18 ft above ground... Problem 69RE: For Exercises 69-71, write a variation model using k as the constant of variation. The mass m of an... Problem 70RE: For Exercises 69-71, write a variation model using k as the constant of variation. The value of x... Problem 71RE: For Exercises 69-71, write a variation model using k as the constant of variation. The variable y is... Problem 72RE Problem 73RE Problem 74RE: The weight of a ball varies directly as the cube of its radius. A weighted exercise ball of radius 3... Problem 75RE Problem 76RE: The power in an electric circuit varies jointly as the current and the square of the resistance. If... Problem 77RE: Coulomb's law states that the force F of attraction between two oppositely charged particles varies... Problem 1T: Given fx=2x212x+16, a. Write the equation in vertex form: fx=axh2+k. b. Determine whether the... Problem 2T Problem 3T Problem 4T Problem 5T: Determine whether the intermediate value theorem guarantees that the function has a zero on the... Problem 6T: a. Divide the polynomials. 2x44x3+x5x23x+1 b. Identify the dividend, divisor, quotient, and... Problem 7T: Given fx=5x4+47x3+80x251x9,... Problem 8T Problem 9T: Given fx=3x4+7x312x214x+12, a. How many zeros does fx have (including multiplicities)? b. List the... Problem 10T: Write a third-degree polynomial fx with integer coefficients and zeros of 15,23,and4. Problem 11T: Determine the number of possible positive and negative real zeros for fx=6x74x5+2x43x2+1. Problem 12T: For Exercises 12-14, determine the asymptotes (vertical, horizontal, and slant). rx=2x23x+5x7 Problem 13T: For Exercises 12-14, determine the asymptotes (vertical, horizontal, and slant). px=3x+14x21 Problem 14T: For Exercises 12-14, determine the asymptotes (vertical, horizontal, and slant). nx=5x22x+13x2+4 Problem 15T: For Exercise 15-17, graph the function. mx=1x2+3 Problem 16T: For Exercise 15-17, graph the function. hx=4x24 Problem 17T: For Exercise 15-17, graph the function. kx=x22x+1x Problem 18T: For Exercises 18-24, solve the inequality. c2c+20 Problem 19T: For Exercises 18-24, solve the inequality. y313y12 Problem 20T: For Exercises 18-24, solve the inequality. 2xx42x+130 Problem 21T Problem 22T Problem 23T: For Exercises 18-24, solve the inequality. 4x290 Problem 24T Problem 25T: write a variation model using k as the constant of variation: Energy E varies directly as the square... Problem 26T Problem 27T: The surface area of a cube varies directly as the square of the length of an edge. The surface area... Problem 28T Problem 29T: The pressure of wind on a wall varies jointly as the area of the wall and the square of the velocity... Problem 30T: The population Pt of rabbits in a wildlife area t years after being introduced to the area is given... Problem 31T Problem 32T: Suppose that a rocket is shot straight upward from ground level with an initial speed of 98 m/sec.... Problem 33T: The number of yearly visits to physicians’ offices varies in part by the age of the patient. For... format_list_bulleted