ii) = + + 4 v) = 2(x 2)(x 1) y x y –x2 – – iii) = vi) = (x3 + + 1) y y x 5. Identify the correct polynomial function for this graph. Justify your reasoning. i) = + 1 iv) = y y x –x – – ii) = + + 4 v) = 2(x 2)(x 1) y x y –x2 – – iii) = vi) = (x3 + + 1) y y x Identify the correct polynomial function for this graph. Justify your reasoning. 6. i) = + 1 iv) = y y x –x – – ii) = + + 4 v) = 2(x 2)(x 1) y x y –x2 – – iii) = vi) = (x3 + + 1) y y x 7. Write an equation for a polynomial function that satisfies each set of characteristics. Explain your reasoning. a) degree 1, decreasing function, of y-intercept –2 b) one turning point, a maximum value, of 3 y-intercept 8. A hockey coach want to know the relationship between the number of shots his team takes during a game and the number of goals they score. She collected the following data from the last few games. Shots 11 20 24 28 27 33 17 38 Goals 1 2 0 3 2 3 1 4 a) Create a scatter plot, and draw a line of best fit for the data.
ii) y = –x2 + x + 4 v) y = 2(x – 2)(x – 1) iii) y = vi) y = (x3 + x + 1) 5. Identify the correct polynomial function for this graph. Justify your reasoning. i) y = –x + 1 iv) y = – – x ii) y = –x2 + x + 4 v) y = 2(x – 2)(x – 1) iii) y = vi) y = (x3 + x + 1) 6. Identify the correct polynomial function for this graph. Justify your reasoning. i) y = –x + 1 iv) y = – – x ii) y = –x2 + x + 4 v) y = 2(x – 2)(x – 1) iii) y = vi) y = (x3 + x + 1) 7. Write an equation for a polynomial function that satisfies each set of characteristics. Explain your reasoning. a) degree 1, decreasing function, y-intercept of –2 b) one turning point, a maximum value, y-intercept of 3 8. A hockey coach want to know the relationship between the number of shots his team takes during a game and the number of goals they score. She collected the following data from the last few games. Shots 11 20 24 28 27 33 17 38 Goals 1 2 0 3 2 3 1 4 a) Create a scatter plot, and draw a line of best fit for the data.