Question

Choose the correct statements for the function $f\left(x\right)$ whose graph is as shown:

• A. Domain $=\{-2,-1,0,1,3,5\}$
• B. Domain $x\in (-2,5)$
• C. Range $f\left(x\right)=\{0,1,2,3,5\}$
• D. Range $f\left(x\right)\in (0,5)$

Answer 1

Answer: (A), (C)

Range $f\left(x\right)=\{0,1,2,3,5\}$

Given the graph of $f\left(x\right)$ as shown:

Here, the function has discrete points
Hence, looking at the graph, we have the ordered pairs as:
$(-2,2),(-1,1),(0,0),(1,1),(3,3),(5,5)$
$\Rightarrow$ Domain $x=\{-2,-1,0,1,3,5\}$
And, Range $f\left(x\right)=\{0,1,2,3,5\}$