Question

graph this equation please i could really use the help

Answer 1

Answer:

$f(x)=2x-4$ 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.