Inequalities of combined functions - Inequalities

Inequalities of combined functions

Lessons

Notes:

Difference function:

f(x)f(x) > g(x)g(x) f(x)g(x) f(x) - g (x) > 00

Quotient function:

f(x)f(x) > g(x)g(x) f(x)g(x) \frac{f(x)}{g(x)} > 11

  • 1.
    Evaluating Inequalities of Combined Functions by Comparing the Functions Graphically

    Let f(x)=2x2f(x) = 2x^{2} and g(x)=3x+2g(x) = 3x + 2.

  • 2.
    Evaluating Inequalities of Combined Functions by Analyzing the Difference Function

    Let f(x)=2x2+x3f(x) = 2x^{2} + x - 3 and g(x)=x2+x+13g(x) = x^{2} + x + 13.

  • 3.
    Let f(x)=(x3)(x+5)f(x) = (x-3)(x+5) and g(x)=(x+1)(x4)g(x) = (x+1)(x-4)
  • 4.
    Evaluating Inequalities of Combined Functions by Analyzing the Quotient Function

    Let f(x)=(x+3)6f(x) = (x+3)^{6} and g(x)=(x+3)4g(x) = (x+3)^{4}

  • 5.
    Application of Inequalities of Combined Functions

    Nick is starting his own phone company. The cost of making and storing phones can be modelled by the function:

    C(n)=1.2n+150,000nC(n) = 1.2n + \frac{150,000}{n}

    where nn = number of phones. The storage capacity of the company’s warehouse is 500 units.

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Inequalities of combined functions

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