Question

all points of the step function f(x) are graphed. what is the domain of f(x)? \bigcirc \\{x\mid -4 < x \leq 4\\} \bigcirc \\{x\mid -3 < x \leq 4\\} \bigcirc \\{x\mid \text{hand-drawn mark, likely -4 or -3 or other} < x \leq 4\\} \bigcirc \\{x\mid 2 < x \leq 4\\}

Explanation:

Step1: Identify the leftmost x - value

The leftmost open circle is at \(x=-4\), so the domain starts just above \(x = - 4\) (since it's an open circle, \(x>-4\)).

Step2: Identify the rightmost x - value

The rightmost closed circle is at \(x = 4\), so the domain includes \(x = 4\) (closed circle means \(x\leq4\)).

Step3: Determine the domain

Combining these, the domain of \(f(x)\) is all real numbers \(x\) such that \(-4

Answer:

\(\{x|-4 < x\leq4\}\)