Question

Find the domain and range.f(x) = (x + 4)^ 2 - 31. Domain: All real numbers; range: y ≥ -32. Domain: All real numbers; range: y > -43. Domain: x > -4; range: All real numbers4. Domain: x > -3; range: All real numbers

Answer 1

The given function is defined for all x real number, therefore its domain consists of all the real numbers.

Now, notice that:

$(x+4)^2\ge0,$

then:

$(x+4)^2-3\ge-3.$

Therefore, the domain of the function consists of all the real numbers greater than or equal to -3.

Answer:

Domain: All real numbers; Range y ≥ -3.