the graph represents f(x) = x+3. what is f(-2.2)? -2 0 1 2

Explanation:

Step1: Recall the definition of the ceiling - function

The ceiling function $\lceil x\rceil$ gives the smallest integer greater than or equal to $x$. For $x = - 2.2$, $\lceil - 2.2\rceil=-2$.

Step2: Substitute into the function

We have $f(x)=\lceil x\rceil + 3$. Substitute $x=-2.2$ into the function: $f(-2.2)=\lceil - 2.2\rceil+3$. Since $\lceil - 2.2\rceil=-2$, then $f(-2.2)=-2 + 3$.

Step3: Calculate the result

$-2+3 = 1$.

Answer:

1