Pre-Calculus A
Name _________________________________ Hour ______
3.2.2 Worksheet (Day 2)
In Exercises 1-2, find the domain, vertical asymptote, and x-intercept of the logarithmic
function, and sketch its graph by hand.
1) y =log2 (x+2)
2) 𝑦 = 1 + 𝑙𝑜𝑔2 𝑥
In Exercises 3-6, use the graph of y = log3 x to match the function with its graph.
3) f(x) = log3 x + 2
4) f(x) = - log3 x
5) f(x) = - log3 (x + 2)
6) f(x) = log3 (1 – x )
In Ex7-9, use the graph of f to describe the transformation that g the graph of g.
7) f(x) = log10 x , g(x) = - log10 x
9) f(x) = log2 x , g(x) = 4 - log2 x
8) f(x) = log10 x , g(x) = - log10 (x + 7)
In Exercises 10-11, find the domain, vertical asymptote, and x-intercept of the logarithmic
function, and sketch its graph by hand. Verify using a graphing utility.
10)
f(x) = ln (x – 1)
11)
f(x) = ln (x + 1)
12. Population The time t in years for the world population to double if it is increasing at a
continuous rate of r is given by
𝑙𝑛2
𝑡=
𝑟
A) Complete the table
r
0.005
0.010
t
B) Interpret your results.
0.015
0.020
0.025
0.030