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Functions & Graph Properties

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Wize High School Grade 12 Pre-Calculus Textbook > Functions (Basics)

Basic Functions & Graph Properties

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Practice: Functions & Graph Properties

The function f(x) is a quadratic function continuous over all real numbers. The function f(x) has the following properties:
  • Increases over the interval (−∞,−32)(-\infin,-32)
  • Decreases over the interval (−32,∞)(-32,\infin)
  • Contains a root at 2 and -6
  • Is congruent to y=2x2y=2x^2
What is the equation of f(x)?
More Basic Functions & Graph Properties Questions:
Functions & Graph Properties
Practice: Functions & Graph Properties
The function f(x) is a quadratic function continuous over all real numbers. The function f(x) has the following properties:
Decreases over the interval (−∞,−38)\Bigg(-\infin,-\dfrac{3}{8}\Bigg)
Functions & Graph Properties
Practice: Functions & Graph Properties
True or False:
The function y=−2x3+5y=-2x^3+5 is odd.
Functions & Graph Properties
Practice: Functions & Graph Properties
True or False:
The function y=xx2−1y=\dfrac{x}{x^2-1} is odd.
Functions & Graph Properties
Practice: Functions & Graph Properties
Determine the interval of increase/decrease for each of the following functions:
Functions & Graph Properties
Practice: Functions & Graph Properties
Determine the interval of increase/decrease for each of the following functions: