Math 113 Name: Off-line Homework 8 CSULB 1D #: l. (1 pt.) If a function is one to one, then it has an 2. (1 pt.) [ff and g are inverses and f(5)=4, then g(4)= 3. (4 pts.) Write a formula for the function whose graph is the same as f (x) = 5" shifted to the left by 5 units and shifted down 4 units. 4. (2 pts.) Rewrite the equation in logarithmic form. 3" = S . (2 pts.) Rewrite the equation in exponential form. logm n = p 6. (2 pts.) What is the domain of f(x) = log7(5 2x) 7. For a certain type of tree, the diameter D (in feet) depends on the tree's age I (in years) 5.4 2 + 1.93\"\" ' a. (4 pts.) Find the diameter of a 10-year old tree. Round to two decimal places and include units. according to the logistic growth model DU) = b. (4 pts.) How big can the diameter of these trees eventually get? Show your work, then ll in the blanks. D) feet,ast> c. (4 pts.) How long before the tree reaches a diameter of 2 feet? Round to the nearest whole number and include units