Logarithmic Functions
NZ Level 7 (NZC) Level 2 (NCEA)
Logarithm Graph
Interactive practice questions
Consider the function $y=3\log_2x$y=3log2x.
a
Solve for the $x$x-coordinate of the $x$x-intercept.
b
Complete the table of values for $y=3\log_2x$y=3log2x.
| $x$x | $\frac{1}{2}$12 | $1$1 | $2$2 | $4$4 |
|---|---|---|---|---|
| $y$y | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
c
State the equation of the vertical asymptote.
d
Sketch the graph of $y=3\log_2x$y=3log2x.
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Easy
Approx 6 minutes
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Outcomes
M7-2
Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs
91257
Apply graphical methods in solving problems