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f(x) = \\begin{cases} 1, & x < 5 \\\\ 0, & x \\geq 5 \\end{cases} f(0) …

Question

f(x) = \

$$\begin{cases} 1, & x < 5 \\\\ 0, & x \\geq 5 \\end{cases}$$

f(0) = \underline{\quad}
f(6) = \underline{\quad}
f(5) = \underline{\quad}

Explanation:

Step1: Find \( f(0) \)

Since \( 0<5 \), use \( f(x)=1 \).
\( f(0) = 1 \)

Step2: Find \( f(5) \)

Since \( 5\geq5 \), use \( f(x)=0 \).
\( f(5)=0 \)

Step3: Find \( f(6) \)

Since \( 6\geq5 \), use \( f(x)=0 \).
\( f(6)=0 \)

Answer:

\( f(0)=1 \), \( f(5)=0 \), \( f(6)=0 \)