. (5 points) Several statements about a differentiable, invertible function f(x) and its inverse f-1(x) are written below. Mark each statement as either "TRUE" or "FALSE" (no work need be included for this question). = 1. If f(-10) = 5 then – 10 = f-1(5). 2. If f is increasing on its domain, then f-1 is decreasing on its domain. 3. If x is in the domain of f-1 then $(8–1(a)) 4. If f is concave up on its domain then f-1 is concave up on its domain. (Hint: think about the examples f(x) = em and f-1(x) = ln x.) 5. The domain of f-1 is the range of f. 3. (10 points) Determine where the function f(x) = 2x2 ln(x/4) is increasing and decreasing.
