A function f: [-4, 4] $\rightarrow$ [0, 4] is given by f(x) = $\sqrt{16 - x^2}$. Show that f is an onto function but not a one-one function. Further, find all possible values of 'a' for which f(a) = $\sqrt{7}$.

Year	Paper Code	Set	Position
CBSE 2023	Series 65-2	Set 1	Question 35
CBSE 2023	Series 65-2	Set 2	Question 34
CBSE 2023	Series 65-2	Set 3	Question 32

• Step 1: Stating the fundamental formula / law statement (+1 Mark)
• Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
• Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)