Question

Consider the inverse function.



Which conclusions can be drawn about f(x) = x2 + 2? Select three options.

f(x) has a limited range.
f(x) has a restricted domain.
f(x) has an x-intercept of (2, 0).
f(x) has a maximum at the point (0, 2).
f(x) has a y-intercept at the point (0, 2).

Answer 1

Correct choices:
- f(x) has a limited range.
- f(x) has a restricted domain. (When considering an inverse, you must restrict the domain to x ≥ 0 or x ≤ 0 so f is one‑to‑one.)
- f(x) has a y‑intercept at the point (0, 2).

Notes: f(x)=x^2+2 has range [2, ∞) and no real x‑intercepts; it has a minimum (0,2), not a maximum.