Below is the graph of the resistance in an electric circuit $\left(R\right)$ versus the current $\left(I\right)$ flowing through it for a constant voltage.

Describe the relationship between current and resistance.

For the function below:

$f\left(x\right)=\frac{1}{x+3}-7$

Write down domain and range.

For the function below:

$f\left(x\right)=\frac{1}{x}-11$

Write down domain and range.

Perform the transformations on the rational function $f\left(x\right)=\frac{1}{x}$, then write the function obtained as a single algebraic function.

Vertical dilation by scale factor $\frac{1}{2}$, vertical translation of $1$ unit in the negative $y-$direction, horizontal translation of $4$ units in the positive $x-$direction.

Perform the transformations on the rational function $f\left(x\right)=\frac{1}{x}$, then write the function obtained as a single algebraic function.

Horizontal dilation by scale factor $3$, horizontal translation of $3$ units, vertical translation of $-2$ units.

Perform the transformations on the rational function $f\left(x\right)=\frac{1}{x}$, then write the function obtained as a single algebraic function.

Vertical dilation by scale factor $\frac{1}{4}$, reflection in the $x-$axis, vertical translation of $8$ units.

Perform the transformations on the rational function $f\left(x\right)=\frac{1}{x}$, then write the function obtained as a single algebraic function.

Vertical dilation by scale factor $\frac{3}{2}$, reflection in the $y-$axis, vertical translation of $4$ units, horizontal translation of $-2$ units.

For rational function $f\left(x\right)=\frac{3}{x+6}-5$, sketch the graph.

For rational function $f\left(x\right)=-\frac{5}{2-x}+3$, sketch the graph.