Question

Can someone help me out with this one?​

Answer 1

Answer:

$F(x)=\left \{ {{-\frac{1}{2}+1, x$

Step-by-step explanation:

There are 2 linear equations, one with an open circle and one with a closed one. Depending on where the circle is, that will tell you your start. Both circles start at 0 on the graph. The open circle means that the first equation will be   x < 0. The second equation has a closed circle so it will be $x\geq 0$ because the linear equation is increasing positively.

Now you need to the start point of both equations.

$x$   start point is 1 on the y-axis

$x\geq 0$   start point is 2 on the y-axis

Now you have to find the slope for the two equations

$x$  the equation goes up 1 and and over 2

$x\geq 0$  the equation goes up 2 and over 1

Now put together the equations

$x$ $\frac{-1}{2} + 1$

$x\geq 0$  $2x - 2$