Theloshua
  • Theloshua
State the range of the function f(x) = 5 - x2 using interval notation
Mathematics
schrodinger
  • schrodinger
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Theloshua
  • Theloshua
urgent help needed :p
jim_thompson5910
  • jim_thompson5910
are you allowed to use a graphing calculator?
Theloshua
  • Theloshua
yes

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jim_thompson5910
  • jim_thompson5910
I would graph the function to get this https://www.desmos.com/calculator/lmohaoktoo
jim_thompson5910
  • jim_thompson5910
the highest point (which you can click on to have the coordinates show) is the point (0,5) the range is the set of possible y values, or outputs, of a function. The graph shows us that anything from y = 5 or below is a valid range value. Anything about y = 5 is not possible So we say the range is \(\Large y \le 5\) which in interval notation is \(\Large (-\infty, 5]\) Notice the use of parenthesis and square brackets
jim_thompson5910
  • jim_thompson5910
the parenthesis says "exclude this endpoint" the square bracket says "include this endpoint"

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