Finding a Point

Find the coordinates of the stationary point on the curve...

y = 4x² - 4x + 2

• (¹/₂ , 1)

• (1 , ¹/₂)

• (2, 10)

• (10 , 2)

Find the coordinates of the stationary point on the curve...

y = 3x² - 12x - 10

• (2 , -22)

• (-22 , 2)

• (¹/₂ , -⁶¹/₄)

• (-⁶¹/₄ , ¹/₂)

Find the coordinates of the stationary point on the curve...

y = 2x² + 20x + 31

• (-5 , -19)

• (-19 , -5)

• (-¹/₅ , ⁶⁷⁷/₂₅)

• (⁶⁷⁷/25 , -¹/₅)

Find the coordinates of the stationary points on the curve...

y = x³ - 3x²

• (0 , 0) and (2 , -4)

• (0 , 0) and (-4 , 2)

• (0 , 0) and (-2 , -20)

• (0 , 0) and (-20 , -2)

The point at which the function has neither maximum or minimum value is called

• Point of infraction

• Point of inflation

• Point of iridescence

• Point of inflection

The function shown contains:

• Only one local maximum.

• Two local maximums.

• Two local minimums.

• Three local maximums

If a function has a second derivative that is negative, what does that tell you?

• The function is increasing

• The function is decreasing

• The function has a local minimum

• The function has a local maximum

If a function has a second derivative that is positive, what does that tell you?

• The function is increasing

• The function is decreasing

• The function has a local minimum

• The function has a local maximum

The slope of a function is described by its ____________.

• first derivative
• second derivative
• third derivative
• expression

If dy/dx is positive then the function is...

• increasing

• decreasing

• a minimum

• a maximum