114
Chapter 1 | Functions and Graphs
236.
For the following exercises, sketch the graph of the exponential function. Determine the domain, range, and
horizontal asymptote. 239. f ( x ) = e x +2 240. f ( x ) =−2 x 241. f ( x ) =3 x +1 242. f ( x ) =4 x −1 243. f ( x ) =1−2 − x 244. f ( x ) =5 x +1 +2 245. f ( x ) = e − x −1
237.
For the following exercises, write the equation in equivalent exponential form.
246. log 3 81=4 247. log 8 2= 1 3 248. log 5 1=0 249. log 5 25=2 250. log0.1=−1
251. ln ⎞ ⎠ =−3 252. log 9 3=0.5 253. ln1=0 For the following exercises, write the equation in equivalent logarithmic form. 254. 2 3 =8 255. 4 −2 = 1 16 256. 10 2 =100 257. 9 0 =1 ⎛ ⎝ 1 e 3
238.
⎛ ⎝ 1 3
⎞ ⎠
3
= 1 27
258.
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