Final Answer:
The given function is y = -2^(-x+2) + 0.1. The domain is all real numbers, the range is y ≤ 0.1, the y-intercept is (0, -3.9), and there are no x-intercepts. The function has a horizontal asymptote at y = 0.1 and approaches it as x goes to positive or negative infinity.
Step-by-step explanation:
Domain: The function is defined for all real numbers.
Range: The range is y ≤ 0.1 since 2^(-x+2) is always positive or zero.
Y-intercept: Substitute x = 0 to find the y-intercept: y = -2^2 + 0.1 = -3.9, so the y-intercept is (0, -3.9).
X-intercept: Set y = 0 and solve for x, but there are no real solutions, so no x-intercepts.
Asymptote: The function approaches y = 0.1 as x goes to positive or negative infinity.