Question

question
find the value of f(7).
y = f(x)

Explanation:

Step1: Identify the line for \( x \geq -1 \)

The graph has a line passing through \( (0, 4) \) and \( (4, 0) \). Let's find its equation. The slope \( m \) is \( \frac{0 - 4}{4 - 0} = -1 \). Using point - slope form \( y - y_1 = m(x - x_1) \) with \( (0, 4) \), we get \( y=-x + 4 \).

Step2: Substitute \( x = 7 \) into the equation

For the function \( y = f(x) \), when \( x = 7 \), we substitute into \( y=-x + 4 \). So \( y=-7 + 4=-3 \).

Answer:

\(-3\)