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2.1-2.4 Review Directions • Take out a sheet of paper to answer all of the review problems. This will be collected for participation points! • The “Last Man Standing” will be your prize! LAST MAN STANDING MILDLY SOMEWHAT MOSTLY TOTALLY COSTUMED MAN Piece of Gum Extra Credit Pt on Test Fist Bump Candy WEIRD MAN Cookies Homework Pass Smiley on your next test HW Pass Candy Piece of Gum Candy Fist Bump SICK MAN ANGRY MAN Candy Smiley on your next test Candy Extra Credit Pt on Test Determine if the given function is a polynomial function. If so, state the degree and leading coefficient. If not, explain why? 4 x 2 f x 3x 8 x 5 Determine if the given function is a polynomial function. If so, state the degree and leading coefficient. If not, explain why? 4 x 2 f x 3x 8 x 5 Write the equation of the given quadratic in vertex form. f x 6 2x 4 x 2 Write the equation of the given quadratic in vertex form. f x 6 2x 4 x 2 Write the equation for the quadratic function whose graph had a vertex at (-2,-5) and goes through (-4,-27) Write the equation for the quadratic function whose graph had a vertex at (-2,-5) and goes through (-4,-27) Write a polynomial function of minimum degree In standard form with real coefficients whose zeros include, -2 and 1+2i. Write a polynomial function of minimum degree In standard form with real coefficients whose zeros include, -2 and 1+2i. Sketch the graph of f x 3x x 2 x 1 4 3 Sketch the graph of f x 3x x 2 x 1 4 3 Describe the end behavior of g(x) using limits. g x 2 3 x x 1 2 Describe the end g(x) using limits. 3 f x 4 x behavior of g x 2 3 x x 1 2 Use the Factor Theorem to determine if 2x-3 is a factor of f(x). f x 4 x4 13x2 9 Use the Factor Theorem to determine if 2x-3 is a factor of f(x). f x 4 x4 13x2 9 Larry uses a slingshot to launch a rock straight up from a point 6ft about level ground with an initial velocity of 170 ft/sec. What is the maximum height of the rock and when will it be at that height? s(t ) 16t 2 v0t s0 Larry uses a slingshot to launch a rock straight up from a point 6ft about level ground with an initial velocity of 170 ft/sec. What is the maximum height of the rock and when will it be at that height? (you may use your calculator) s(t ) 16t 2 v0t s0 f x 1 x x 5 1 2 x 6 2 4 find lim f x x f x 1 x x 5 1 2 x 6 2 4 find lim f x x Write an equation, in factored form, of lowest degree of the given graph of a function. Write an equation, in factored form, of lowest degree of the given graph of a function. Find the zeros of the functions f x 5x 5x 10x 3 2 Find the zeros of the functions 3 2 f x 5x 5x 10x Find the zeros of the functions f x x 3x x 1 3 2 Find the zeros of the functions f x x 3x x 1 3 2 Use the Remainder Theorem ro find the remainder when f(x) is divided by x-k f x x 5 2x 4 3x2 20x 3; k 1 Use the Remainder Theorem ro find the remainder when f(x) is divided by x-k f x x 5 2x 4 3x2 20x 3; k 1 Find the polynomial function with leading coefficient 2, degree of 4, with -3,-1, 0, and 5/2 as zeros. Write the function in Standard Form. Find the polynomial function with leading coefficient 2, degree of 4, with -3,-1, 0, and 5/2 as zeros. Write the function in Standard Form. Factor f(x) into linear factors. You may use your graphing calculator to find the real rational zeros. f x 2x 7x 4 x 28x 16 4 3 2 Factor f(x) into linear factors. You may use your graphing calculator to find the real rational zeros. f x 2x 7x 4 x 28x 16 4 3 2 Larry uses a slingshot to launch a rock straight up from a point 6ft about level ground with an initial velocity of 170 ft/sec. When will the rock hit the ground? Larry uses a slingshot to launch a rock straight up from a point 6ft about level ground with an initial velocity of 170 ft/sec. When will the rock hit the ground?