Use graph of $f\left(x\right)$ to determine if the function is continuous or discontinuous at $x=c$
$c=0$

• A. Continuous
• B. Discontinuous

Answer: (B)

Verified step by step guidance

1. Examine the graph of the function f(x) at x = 0. Look for any breaks, jumps, or holes in the graph at this point.
2. Identify the value of f(x) as x approaches 0 from the left side. Notice if the graph approaches a specific y-value or if there is a gap.
3. Identify the value of f(x) as x approaches 0 from the right side. Again, observe if the graph approaches a specific y-value or if there is a gap.
4. Check if the value of f(0) is defined and if it matches the y-values approached from both sides. If there is a hole or the values do not match, the function is discontinuous at x = 0.
5. Conclude that the function is discontinuous at x = 0 if there is a jump, hole, or mismatch in the values approached from either side.