As a result, f(x) is negative for x-values between -3 and 3.
-3 < x < 3
d
Since f(x) is a radical function,to find its domain and range, we should interpret the radicand. Recall that the radicand must be non-negative.
f(x)=sqrt(x^2-9) ⇒ x^2-9 ≥ 0
Since the radicand is greater than or equal to 0, then sqrt(x^2-9) is also greater than or equal to 0. With this in mind, we can state the range of the function.
Range: y≥ 0
To find its domain, we should determine the x-values for which the radicand is non-negative. Therefore, we will examine the graph of y= x^2-9.
For x-values less than or equal to -3 and greater than or equal to 3, the radicand is non-negative. With this, we can determine the domain as shown below.
Domain: x≤ -3 and x ≥ 3
