let f(x)=sqrt of 121-x^2

Question

a. graph the function
b. state the domain and range of f(x)

Answer 1

y=sqrt[121-x^2]
a. graph the function
b. state the domain and range of f(x)

when x = +11, y = 0
when x = -11, y = 0

when x = 0, y = 11 never gets bigger

If |x| > 11 , y is imaginary

so parabola is upside down with vertex at (0,11) and zeros at +and - 11

It never goes below the y axis
It never goes above y = 11
That defines the range and
x is from -11 to + 11 defining the domain

Answer 2

so the domain is [-11,11)