Supplement 4.3C
Graph each of the following functions using transformations.
State the horizontal asymptote, domain, and range.
a. y = 1 + log2 x
b. y = - 2 + log2 x
c. y = log2 (x – 3)
8
4
8
6
2
6
4
-2
-1
-1
0
1
2
3
2
3
4
4
2
-4
4
-4
-2
0
-2
-6
-2
-4
-8
-4
2
4
6
8
Asymptote: __________
Domain: ________________
Range: ________________
Asymptote: __________
Domain: ________________
Range: ________________
Asymptote: __________
Domain: ________________
Range: ________________
d. y = log2 (x + 4)
e. y = - log2 x
f. y = log2 (-x)
8
4
4
6
2
3
4
-2
-3
-2
-1
0
-1
0
1
2
3
2
4
-2
2
-4
1
-2
2
-2
0
1
2
-4
1
-4
-3
-2
-1
0
-2
-6
-1
-4
-4
-2
Asymptote: __________
Domain: ________________
Range: ________________
Asymptote: __________
Domain: ________________
Range: ________________
1
2
Asymptote: __________
Domain: ________________
Range: ________________