Question

select the correct answer.

what is the zero of the function represented by this graph?

\\(x = -5\\)

\\(x = 1\\)

\\(x = 5\\)

\\(x = -1\\)

Explanation:

Identify the definition of a zero of a function

$$ f(x) = 0 \implies (x, 0) \text{ is the } x\text{-intercept of the graph} $$

Locate the x-intercept on the graph

$$ \text{The graph crosses the } x\text{-axis at } x = -5 $$

Match with the given options

$$ x = -5 $$

Answer:

• (A) \(x = -5\) (Correct answer)
• (B) \(x = 1\)
• (C) \(x = 5\)
• (D) \(x = -1\)