Answer:
7.D
8.A
Explanation:
For the function f(x) = √x+2+5:
(D) D= x≥2, R= y
The domain is restricted to x values greater than or equal to 2 because the function contains the square root of x+2, which cannot be negative. The range starts at y = 5 because the lowest possible output of the function is √2+2+5 = 5.
(A) f(x)+∞o as x→ +∞o; f(x) +∞ as x――∞
As x approaches positive infinity, the output of the function approaches infinity as well. As x approaches negative infinity, the function is undefined since it involves taking the square root of negative numbers. However, the limit of the function as x approaches negative infinity from the right is positive infinity.