Stationary points
Name
Date
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1.
Where are the stationary points of y = x³ − 1.5x² − 18x?a)x = 3b)x = 4 and x = -3c)x = -2 and x = 3d)x = -3 and x = 2
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2.
At what value of x is the stationary point of y = 2x² − 16x − 5?
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3.
At what value of x is the stationary point of y = -2x² − 20x − 4?
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4.
What kind of stationary point does y = x² − 4x − 3 have?a)Minimumb)Maximum
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5.
What kind of stationary point does y = 3x² + 30x + 2 have?a)Minimumb)Maximum
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6.
At what value of x is the stationary point of y = -2x² + 20x − 5?
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7.
Where are the stationary points of y = x³ − 4.5x² − 12x?a)x = 4b)x = -1 and x = 4c)x = -4 and x = 1d)x = 5 and x = -2
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8.
At what value of x is the stationary point of y = 3x² − 12x + 7?
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9.
What kind of stationary point does y = x² + 6x − 3 have?a)Minimumb)Maximum
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10.
Where are the stationary points of y = x³ − 1.5x² − 36x?a)x = -3 and x = 4b)x = -2 and x = 3c)x = -3d)x = 3 and x = -4
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11.
Where are the stationary points of y = x³ + 4.5x² + 6x?a)x = 1 and x = 2b)x = -1c)x = 0 and x = -3d)x = -2 and x = -1
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12.
At what value of x is the stationary point of y = 2x² − 12x?
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13.
At what value of x is the stationary point of y = -2x² + 16x + 3?
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14.
What kind of stationary point does y = -2x² + 12x − 4 have?a)Minimumb)Maximum
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15.
What kind of stationary point does y = x² − 4x − 8 have?a)Minimumb)Maximum
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16.
At what value of x is the stationary point of y = -x² + 10x − 2?
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17.
At what value of x is the stationary point of y = -x² + 7?
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18.
At what value of x is the stationary point of y = x² + 4x − 9?
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19.
At what value of x is the stationary point of y = x² − 4x + 2?
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20.
What kind of stationary point does y = x² + 10x + 1 have?a)Minimumb)Maximum
Free maths worksheets and practice: rocketdigits.com/learn/stationary-points
Answers: Stationary points
- c) x = -2 and x = 3
- 4
- -5
- a) Minimum
- a) Minimum
- 5
- b) x = -1 and x = 4
- 2
- a) Minimum
- a) x = -3 and x = 4
- d) x = -2 and x = -1
- 3
- 4
- b) Maximum
- a) Minimum
- 5
- 0
- -2
- 2
- a) Minimum
Free maths worksheets and practice: rocketdigits.com/learn/stationary-points