Answer: The end behavior of a function is the behavior of the function as x approaches positive infinity or negative infinity.
For the function f(x) = -2√x + 5 + 1, as x approaches positive infinity, the square root of x approaches positive infinity as well. So, the function approaches negative infinity as x approaches positive infinity:
lim x → ∞ f(x) = lim x → ∞ -2√x + 5 + 1 = -∞
As x approaches negative infinity, the square root of x approaches 0, so the function approaches:
lim x → -∞ f(x) = lim x → -∞ -2√x + 5 + 1 = 7
Therefore, the end behavior of the function is that it approaches negative infinity as x approaches positive infinity, and it approaches 7 as x approaches negative infinity.
Explanation: