What is the complete set of numbers for which f(x) = x3 + 2×2 x

Question

What is the complete set of numbers for which f(x) = x3 + 2×2 – x

is concave?

  • x ≥ -2/3
  • x ≥ -3/2
  • x ≥ 3/2
  • x ≥ 1
  • None of the above

For x = 1/2 the second derivative of f(x) = 2x−2 is

  • 3/4
  • 100
  • 192
  • 25
  • None of the above

For x = 2, the slope of the function f(x) = x4 – 3×2 is

  • 10
  • 25
  • 15
  • 30
  • None of the above

The inflection point for f(x) = x3 – 3×2 + x + 5 is

  • x = 0
  • x = 1
  • x = -1
  • x = 2
  • None of the above

The unit cost of producing a steak dinner at the Smalown Inn is $6. If a restaurant charges p dollars for a steak dinner, customers will demand 200 – 5p steak dinners per week. To maximize the profit earned on steak dinners, what price should the inn charge?

Math