## Theloshua one year ago State the range of the function f(x) = 5 - x2 using interval notation

1. Theloshua

urgent help needed :p

2. jim_thompson5910

are you allowed to use a graphing calculator?

3. Theloshua

yes

4. jim_thompson5910

I would graph the function to get this https://www.desmos.com/calculator/lmohaoktoo

5. 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

6. jim_thompson5910

the parenthesis says "exclude this endpoint" the square bracket says "include this endpoint"