Review for 4Q
1)Evaluate a.8 b.4 c.16 d.2
2) Find the inverse of f(x) = x a. b. c. d.
3) State the transformation from the parent function a. Right 3, up 3 b. Left 3, up 3 c. Right 3, down 3 d. Left 3, down 3
4) An initial population of 130 bear increases at an annual rate of 3%. Write an exponential function to model the bear population. a.F(x) = 130(3) x b.F(x) = 130(.03) x c.F(x) = 130(1.03) x d.F(x) = 130(.97) x
5) Solve a.52 b.4 c.46 d.49
6) f(x) = x 2 + 1, g(x) = x + 3 Find (f ○ g)(x) a.x b.x 2 + x + 3 c.x 2 + x + 4 d.x 2 + 6x + 10
7) Write in exponential form: log = 5 a = 4 b.5 4 = 1024 c.4 5 = 1024 d = 5
8) Write in logarithmic form: 3 5 = 243 a.Log = 5 b.Log = 5 c.Log = 3 d.Log 3 5 = 243
9) Solve 6 = log log 3 x a.729 b.512 c.243 d.169
10) Solve 3e 2x = 9 a b c d.0.549
11) Solve a.8 b.6 c.4 d.0
12) Solve: 10 3x = 85 a.0.34 b.0.64 c.0.85 d.8.5
13) Solve: log (2x + 1) = 2 a.99 b.49.5 c.50.5 d.100
14) Simplify ln e 8 a.e 8 b.8 c.2980 d.None of these
15) Solve ln x – ln 3 = 0 a.1 b.0 c.3 d.undefined
16) How long does it take for an amount of money to double if interest is compounded continuously at 4%. a.18 years b.18.2 years c.17.3 years d.19 years
17) Simplify & State restrictions: i
18) Add: c.
19) Divide:
20) Simplify: