T2 -Math Graded assignment 1- 12 ADV

The interval on which the function f (x) = 2x³ + 9x² + 12x – 1 is decreasing is:

• [−1,∞)

• [−2,−1]

• (−∞,−2]

• [−1,1]

y = x (x – 3)² decreases for the values of x given by :

• 1 < x < 3

• x < 0

• x > 0

• 0 < x < 23​

Over what interval(s) is f(x) increasing?

• (-∞, -3) ∪ (1, ∞)

• (-3, 1)

• (-5, 0) ∪ (2, ∞)

• (-5, ∞)

Identify the critical points of the following function:g(x)=2x³-3x²

• x = -1 , 1

• x = 0

• x = 0 ,-1

• x = 0 , 1

Discuss the concavity and the point(s) of inflection (if any) of the function:

• 
• 
• 
• 

• No point of inflection 

• At x = 2

• At x = 3.5

• At x = 5

Discuss the concavity and the point(s) of inflection (if any) of the function:

• 
• 
• 
• 
• 

If (a,b) is a local maximum, then what will be true about f''(a)?

• It's positive

• It's negative

• It's zero

• Cannot be determined

• (−2, 0)

• (−∞, ∞)

• (2, ∞)

• (0, 2) 

 

Find the point(s) of inflection (if it exists) of the graphed function. 

• No point of inflection 

• Points b and g

• Points  b, d and g

• Points  a, b, c, d, e, f, g, and h

• Points a, c, e, f and h