29) Solve 1_2 S 7. i I + 2 31) Find the inverse f"(z) of f(:t) = 13 5 30) Find the inverse f"'(z) of f(:t) = LINEAR FUNCTIONS 32) Write down the equation of a line, in slope-intercept form, that goes through the points (7,5) and (3,17). 33) Write down the equation of a line, in slope-intercept form, which has ac-intercept (6,0) and y-intercept (0, 10), 34) Write down the equation of the line below. 1! o+oiooa 1234567 36) Graph the function f(z) = 22 5 the equation of the line below. 37) Are the following two lines given by equations below, parallel, perpendicular or neither? @ @ new Khodorovskiy 2x6y =12 a:+3y =1 38) Line 1 passes through (5,11) and (10, 1) Line 2 passes through (71,3) and (75,11) Are the two lina parallel, perpendicular or neither? 39) Line 1 passes through (8, 10) and (0, 26). Line 2 passes through (2,5) and (4,4). Are the two Lines parallel, perpendicular or neither? 40) Write an equation for a line perpendicular to y = 5x 1 and passing through the point (5, 20). 41) Find a line parallel to y = 4, through the point (7, 72) 42) Does the following table represent a linear function? If so, find a linear equation that models the data. 0 2 10 -2 -12 -52 oes the following table represent a linear function? If so, find a linear equation that data. 8 12 26 -12 -18 -46 44) On June let, a company has $4,000,000 prot. The company loses $150,000 per day, every day in June Write down an expression P(n) which models the company's prot on day n of June, 45) The number of people getting a cold each year has dropped steadily by 50 since the year 2004 until 2010. In 2004, 875 people had colds. Find the linear function which models the number of people with colds as function of t time (in years). If this trend continues, when will there be no more people getting colds? 46) In 2004, the school population was 1,700. In 2012, the population grew to 2,500. What was the average population growth per year? Find an equation P(t) for the school population t years after 2004. QUADRATIC FUNCTIONS 47) Subtract: (6 57') (10 + 31') 4s) Multiply: (2 3)(3 + 67') @ @ new Khodorovskiy 49) 50) Find all solutions of 12 4m + 5. 51) Find all solutions of z\" + 2:1: + 10. 52) Find the vertex, intercepts, and graph the function f ( ) = 2' 42 5 53) Find the vertex, intercepts, and graph the function f(1) : 72x2 7 41 54) Find an equation of a quadratic function with z-intercepts (\\/5,0) and (x/g,0) and y- intercept (0, 10). 55) Find an equation of a quadratic function with vertex (2, 3) and a point on the graph is (3, 6) 56) A rectangular plot of land is to be enclosed by a fence. One side is along a river, and does not need to be enclosed If the total available fencing is 600 meters, nd the dimensions of the plot to have the maximum area. 57) Sketch a graph of a quadratic function, whose graph opens downwards, and has one real met 58) Sketch a graph of a quadratic function, whose graph opens upwards, and has two imaginary roots. POLYNOMIAL FUNCTIONS 59) Determine if the function f (I) = 4x5 3x3 + 2:6 1 is a. polynomial. If so, give the degree and leading coeicient. 60) Determine if the function f (I) : 5"H 7 12 is a polynomial. If so, give the degree and leading coeicient, 61) Determine if the function f (1) = 12(3 61 + 12) is a polynomial. If so, give the degree and leading coefcient 62) Determine the end behavior of the polynomial f (x) = 21" + 313 527 + 7 63) Determine the end behavior of the polynomial f (1) = 212(1 + 32: 7 13) 64) Find all the zeros of the polynomial, noting multiplicities f = (z + (3)2(21 1)(z + 1)3 65) Find all the zeros of the polynomial, noting multiplicities f(I) = 15 + 41" + 4::3 66) Determine the zeros of the polynomial function below, noting the multiplicities, and write down possible algebraic expression: @ @ new Khodorovskiy 67) Determine the zeros of the polynomial function below, noting the multiplicities, and write down possible algebraic expression: 11; >oooooi 77654321 2 68) Sketch a graph of a degree 3 polynomial with 1 real root 69) Sketch a graph of a degree 6 polynomial with 3 real roots, one of which has multiplicity 2 and one has multiplicity 34 70) Use the Intermediate Value Theorem to show f (I) = 3:3 7 5n: + 1 has a zero between 1 = 2 and :5 = 3. 71) Divide: 3x44z2+4z+8 1+1 73) Solve 2E3 3x2 181 8 = 0 72) Divide: 74) Solve 313 +111:2 + 81 4 = 0 75) Solve 2:54 7 17553 + 463v2 7 431 + 12 = 0 @ @ new Khodorovskiy