Question

Find the domain and range of the following function ƒ(x) = 3|x + 7| - 2?
a.Domain: [-2,∞) Range: (-∞,∞)
b.Domain: (-2,∞) Range: (-8∞,∞)
c.Domain: (-∞,∞) Range: [-2,∞)
d.Domain: (-∞,∞) Range: (-2,∞)

Answer 1

c is the right option...
because f(x) is valid for every value of x so domain is minus infinite to plus infinite....at x=-7 the function value will be least so range is [-2, infinite)....