Math, asked by aaaa78, 9 months ago

1. Is a constant function a linear function?
2. Is quadratic function a one-one function?
3. Is cubic function a one-one function?
4. Is the reciprocal function a bijection? ​

Answers

Answered by pragya948
3

  • true
  • false
  • fales
  • true

hope it helps u

Answered by naiduasn2009
3

Answer:

  1. Constant Function. A constant function is a linear function for which the range does not change no matter which member of the domain is used. f(x1)=f(x2) for any x1 and x2 in the domain. With a constant function, for any two points in the interval, a change in x results in a zero change in f(x) .
  2. A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. ... A parabola intersects its axis of symmetry at a point called the vertex of the parabola. You know that two points determine a line.
  3. This cubic function is indeed a "function" as it passes the vertical line test. In addition, this function possesses the property that each x-value has one unique y-value that is not used by any other x-element. This characteristic is referred to as being a 1-1 function.
  4. Properties (3) and (4) of a bijection say that this inverse relation is a function with domain Y. Moreover, properties (1) and (2) then say that this inverse function is a surjection and an injection, that is, the inverse function exists and is also a bijection.

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