y A B x O 3 –2 3.1 Determine the gradient of at = 0. (1) x 3.2 For which value of will the gradient of be the same as the gradient in x QUESTION 7.2.1? (1) 3.3 Draw a sketch graph of . Show the of the stationary points and x-values the point of inflection on your sketch. It is not necessary to indicate the intercepts with the axes. (3) 3.1 answer (1) 3.2 = 1 x (1) 3.3 y g turning point at = 2 x − and at = 3 x point of inflection at x = ½ -2 ½ 3 x shape (3) 1. The function defined by is represented by the sketch below. A and B are the turning points of , while is a tangent to at A f f which cuts at point C. f
y A B x –2 O 3 3.1 Determine the gradient of at x = 0. (1) 3.2 For which value of x will the gradient of be the same as the gradient in QUESTION 7.2.1? (1) 3.3 Draw a sketch graph of . Show the x-values of the stationary points and the point of inflection on your sketch. It is not necessary to indicate the intercepts with the axes. (3) 3.1 answer (1) 3.2 x = 1 (1) 3.3 y g x -2 ½ 3 turning point at x = − 2 and at x = 3 point of inflection at x = ½ shape (3) 1. The function defined by is represented by the sketch below. A and B are the turning points of f , while is a tangent to f at A which cuts f at point C.
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