College algebra 11th edition from pearson

Section 3.1: exercises 2, 18, 24, 64Section 3.2: exercises 2, 14, 20, 28, 34, 46Section 3.3: exercises 14, 18, 30, 44, 52, 58Section 3.4: exercises 12*, 18*, 32*, 48, 58Section 3.6: exercises 14, 28, 40, 52SECTION 3.1 QUADRATIC FUNCTIONS AND MODELS2. You are given an equation and the graph of a quadratic function.a. Give the domain and rangeb. Give the coordinates of the vertexc. Give the equation of the axisd. Find the y-intercepte. Find the x-intercepts(SEE PICTURE)18. Graph each quadratic function. Give the (a) vertex, (b) axis, (c) domain, and (d)range. Then determine (e) the interval of the domain for which the function is increasingand (f) the interval for which the function is decreasing.24.64. According to data from the National Highway Traffic Safety Administration, theaccident rate as a function of the age of the driver in years x can be approximated by thefunctionSECTION 3.2 SYNTHETIC DIVISION2. Use synthetic division to perform the division14.20. Express f(x) in the form f(x)=(x-k)q(x)+r for the given value of k28. For each polynomial function, use the remainder theorem and synthetic division tofind f(k)34.46. Use synthetic division to decide whether the given number k is a zero of the givenpolynomial function. If it is not, give the value of f(k)SECTION 3.3 ZEROS OF POLYNOMIAL FUNCTIONS14. Use the factor theorem and synthetic division to decide whether the secondpolynomial is a factor of the first18. Factor f(x) into linear factors given that k is a zero of f(x)30. For each polynomial function, one zero is given. Find all others.44. For each polynomial function, find all zeros and their multiplicities52. Find a polynomial function f(x) of degree 3 with real coefficients that satisfies thegiven conditions.58. Find a polynomial function f(x) of least degree having only real coefficients withzeros as given.SECTION 3.4 POLYNOMIAL FUNCTIONS: GRAPHS, APPLICATIONS, ANDMODELS12*Sketch the graph of each polynomial function. Determine the intervals of the domainfor which function is (a) increasing or (b) decreasing18*32* Graph each polynomial function. Factor first if the expression is not in factored form.48. Use the intermediate value theorem or polynomials to show that each polynomialfunction has a real zero between the numbers given.58. Show that the real zeros of each polynomial function satisfy the given conditionsSECTION 3.6 VARIATION14. Solve each variationIf (m) varies jointly as z and p, and m=10 when z=2 and p=7.5, find m when z=6 andp=928. The current in a simple electrical circuit varies inversely as the resistance. If thecurrent is 50amps when the resistance is 10ohms, find the current if the resistance is5ohms.40. The number of long-distance phone calls between two citites in a certain time periodvaries directly as the populations of the cities and inversely as the distance betweenthem. If 10,000 calls are made between two citites 500 mi apart, having populations of50,000 and 125,000, find the number of calls between two citites 800mi apart, havingpopulations of 20,000 and 80,000.52. Suppose y is inversely proportional to x, and x is tripled. What happens to y?