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1 markSubstitution in Algebraic Expressions

CSEC Mathematics · Question 8(a)(i)

This question involves algebra, relations, functions and graphs. Given the function f(x) = 3 + 2x - x².

Complete the table below for the function f(x) = 3 + 2x - x².

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Other parts of this question

  1. 8(a)(ii)Complete the grid below to show all the points in the table on page 25 and hence, draw the graph of the function f(x) = 3 + 2x - x² for -2 ≤ x ≤ 4.[2 marks]
  2. 8(a)(iii)a)Using the graph on page 26, determine the coordinates of the maximum point of f(x).[1 mark]
  3. 8(a)(iii)b)Using the graph on page 26, determine the range of values of x for which f(x) > 0.[2 marks]
  4. 8(a)(iii)c)Using the graph on page 26, determine the gradient of f(x) at x = 1.[1 mark]
  5. 8(b)(i)Write TWO inequalities to represent this information.[2 marks]
  6. 8(b)(ii)Write an inequality to represent this information.[2 marks]
  7. 8(b)(iii)Show that on any given day, it is NOT possible for Mr Thomas to make 50 bottles of juice and 12 cakes.[1 mark]

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