31)

The equation is $\"\"$

Solve the equation.

$\"\"$

32)

The parent function is $\"image\"$

The value of $\"image\"$ on the graph.

General form of the transformation function is $\"\"$

Graph the parent function and functions $\"image\"$

$\"image\"$

Compare the both graphs.

Find the function at $\"\"$

$\"\"$

The appoximate value of the function $\"\"$ \ \

33)

The equation is $\"\"$

Find the logarithmic function.

Apply log on each side.

$\"\"$

Logarithmic function is $\"\"$

35)

The equation is $\"\"$

The graph is shifted 8 units left and 4 units down to the equation.

Since, the equation is $\"\"$

The transformation of $\"\"$ is $\"\"$

36)

The function is $\"\"$

Find the range.

$\"\"$