Logarithmic Functions

Consider the function $y=3\log_2x$`y`=3`l``o``g`2`x`.

a

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

b

Complete the table of values for $y=3\log_2x$`y`=3`l``o``g`2`x`.

$x$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`=3`l``o``g`2`x`.

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Easy

Approx 6 minutes

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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