Final Answer:
The derivative of the function is e^x. Since e^x is always positive, the function is increasing over the entire interval of its domain, which is (-∞, ∞). None of the given options is answer.
Step-by-step explanation:
The derivative of the function is e^x, which is always positive.
Steps to solve:
Take the derivative of the function:
d/dx(e^x+1) = d/dx(e^x) + d/dx(1)
= e^x + 0
= e^x
Analyze the derivative:
e^x > 0
for all x ∈ (-∞, ∞)
Conclusion:
Since the derivative is always positive, the function is increasing over the entire interval of its domain, which is (-∞, ∞).
None of the given options is answer.