c. ________ d. = Simplify the following the properties of exponents. a. _= _____ b. ______ c. ______ d. ______ e. __=____f. ______ h. Graph functions as transformations of f(x) = ax, log a x, ex, or ln x. Investigate & explain charac. of exponential & log. Functions Growth/Decay Asymptote Intercept Domain Range 1. decay y = -1 (0, 0) 2. decay y = 3 (0,10.59) growth Y = -1 (0, -2) 3. decay Y = 5 (0, 19.78) 4. Neither X = 2 (2.01,0) 5. neither X = 0 (1,0) 6. 4. Describe the shifts of the following graphs: A. shift up 2, shift right 2, reflect across x axis B. left 4, reflect across x axis C. up 7, reflect across x axis, reflect across y axis D. Shift up 1, Shift right 3, Reflect across x axis E. Shift down 3, shift right 3, stretch by factor 2 5. If the population of Emerson, GA was modeled by in 1930 (this where t = 0 is 1930), then what was the population in 1958? t = 1958 1930 = 28 – Since this is a population question and you can’t have a fraction of a person we round this to 12,141. 6. Suppose that $ 2000 is invested at 5% compounded quarterly. Use
c. ________ d. = Simplify the following the properties of exponents. a. _= _____ b. ______ c. ______ d. ______ e. __=____f. ______ h. Graph functions as transformations of f(x) = ax, log a x, ex, or ln x. Investigate & explain charac. of exponential & log. Functions Growth/Decay Asymptote Intercept Domain Range 1. decay y = -1 (0, 0) 2. decay y = 3 (0,10.59) 3. growth Y = -1 (0, -2) 4. decay Y = 5 (0, 19.78) 5. Neither X = 2 (2.01,0) 6. neither X = 0 (1,0) 4. Describe the shifts of the following graphs: A. shift up 2, shift right 2, reflect across x axis B. left 4, reflect across x axis C. up 7, reflect across x axis, reflect across y axis D. Shift up 1, Shift right 3, Reflect across x axis E. Shift down 3, shift right 3, stretch by factor 2 5. If the population of Emerson, GA was modeled by in 1930 (this where t = 0 is 1930), then what was the population in 1958? t = 1958 – 1930 = 28 Since this is a population question and you can’t have a fraction of a person we round this to 12,141. 6. Suppose that $ 2000 is invested at 5% compounded quarterly. Use