What happens when you pick reciprocal powers of 2? Like x=1/2 or x=1/4?
7
Expression 8: "y" equals log Subscript, 2 , Baseline left parenthesis, "x" , right parenthesisy=log2x
8
"x"x
log Subscript, 2 , Baseline left parenthesis, "x" , right parenthesislog2x
negative 8−8
r1c2: undefinedundefined
r1c3:
r2c2:
r2c3:
r3c2:
r3c3:
r4c2:
r4c3:
r5c2:
r5c3:
r6c2:
r6c3:
r7c2:
r7c3:
r8c2:
r8c3:
r9c2:
r9c3:
r10c2:
r10c3:
r11c2:
r11c3:
r12c2:
r12c3:
r13c2:
r13c3:
9
No matter what you pick for x, you have to pick positive numbers.
10
Notice as you pick x values closer and closer to zero, the graph goes farther and farther down next to the y-axis.
11
Click on the "+" icon to the upper right of the graph to zoom in and you can drag the graph around the screen with your mouse to center it again.
12
Notice the graph gets closer and closer to the y-axis, but it will NEVER touch the y-axis!
13
The y-axis is a VERTICAL ASYMPTOTE. It acts like a boundary. All log functions have vertical asymptotes and the domain of a log function is all inputs greater than zero (i.e. x > 0 )
