Question

Graph this equation please i could really use the help

Answer 1

`f(x)=2x-4` for
`x < -2`

`f(-2)=2(-2)-4=-8`

Therefore, plot an open circle at (-2, -8)

Input another value of x which is less than -2 into the function. Plot this and join to create the line. As the domain of this function is
`x < -2` it only has one endpoint at (-2, -8). Therefore, add an arrow to the other end to show that it continues.

`f(x)=-0.5x^2` for
`x\geq -2`

`f(-2)=-0.5(-2)^2=-2`

Therefore, plot a closed circle at (-2, -2)

Input other values of x that are greater than -2 into the function and plot to help plot the curve of the function. As the domain of this function is
`x \geq -2` it only has one endpoint at (-2, -2). Therefore, add an arrow to the other end to show that it continues.