Question

If you could help I would really appreciate it, but if not that’s fine. Thank you.

Answer 1

Answer:

Option C is correct answer.

Step-by-step explanation:

We need to draw the graph of piece wise function

$f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\]$

So, for drawing the graph, we will find values of f(x) for both the given equations.

First finding f(x) for $-2-x \:\: if\:x\leq1$

The value of x must be less than or equal 1

x       f(x)

1        -3

0       -2

-1       -1

-2       0

-3       1

-4       2

The graph will start from closed circle because x ≤ 1

Now, finding values of f(x) for $-3+2x\: if\:x>1$

The value of x must be greater than 1

x        f(x)

2        1

3        3

4        5

5        7

The graph will start from open circle because x> 1

Now, plotting these numbers we will get graph of Option C.

Option C is correct answer.