1.
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For the graph shown, at which point(s) is the graph: a. Increasing b. Decreasing Give the coordinates of: c. A local minimum point d. A local maximum point |
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2. Find the coordinates and nature of the stationary point of each of the following quadratic functions:
a. f(x) = x2 − 6x + 8
b. y = x2 − 7x + 6
c. f(x) = -x2 -12x − 35
d. y = (x − 2)(x + 4)
e. f(x) = (3 − x)(x − 2)
3. Find the coordinates and nature of the turning points of the following cubic functions.
a. y = x3 − 4x2
b. f(x) = x3 − 27x + 10
c. y = x2(x + 3)
d. f(x) = 2x3 − 12x2 − 30x + 7
e. g(x) = (x+1)(x − 1)2
