alrightlol9483 alrightlol9483
  • 19-04-2018
  • Mathematics
contestada

What is the domain and range of the function f(x) = x^2 -4x-5?

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mkryukova19 mkryukova19
  • 19-04-2018
f(x) = x²-4x-5, quadratic function,  
Domain (the values if x) is all real numbers.

To find range we should draw a graph or to write an equation in vertex form.
f(x) = x²-4x+4-4-5
f(x) = (x-2)²-9
Point (-2,-9) is the vertex of the parabola, and it is a minimum because a parabola has positive sign in front of x², so it is looking up.  Minimum value of y =-9
Range(the values of y) is [-9, ∞)


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