Question

State the range of the function f(x) = 5 - x2 using interval notation

Answer 1

urgent help needed :p

Answer 2

are you allowed to use a graphing calculator?

Answer 3

yes

Answer 4

I would graph the function to get this

https://www.desmos.com/calculator/lmohaoktoo

Answer 5

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

Answer 6

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