Level 7 - NCEA Level 2

Logarithm Graph

Interactive practice questions

Consider the function $y=3\log_2x$y=3log2x.

Solve for the $x$x-coordinate of the $x$x-intercept.

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`	$\editable{}$	$\editable{}$	$\editable{}$	$\editable{}$

State the equation of the vertical asymptote.

Sketch the graph of $y=3\log_2x$y=3log2x.

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Easy

Approx 6 minutes

Consider the function $y=-\log_3x$y=−log3x.

Consider the function $y=\log_3x-1$y=log3x−1.

Consider the function $y=-3\log_5x$y=−3log5x.

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

Apply graphical methods in solving problems