
Recall that

Take it one piece at a time. For

, we can scale

by -5:

If we shift the argument by 1 and scale by -5, we have

so if we subtract this from

, we'll end up with

For the next piece, we can add another scaled and shifted step like

so that

For the last piece, we add one more term:

and so putting everything together, we get

:

The slope of a graph is rise over run. So count how many units up you move and put that over how many units right you move. If you are moving down or to the left it would be negative.
Answer:
A
Step-by-step explanation:
Area of a triangle:

In our case:
b=4
h=2
Plug in what we know:

Find the matching solution:
A.) it is 1/2 the area of a rectangle of length 4 units and width 2 units
X B.) it is twice the area of a rectangle of length 4 units and width two units
X C.) it is 1/2 the area of a square of side length 4 units
X D.) it is twice the area of a square of side length 4 units
Replace x in the equation of f(x) and solve:
f(0) = sqrt(0) = 0
F(49/9) = sqrt(49/9) = 7/3