Question

select the correct answer.

if function \\(f\\) has zeros at -3 and 4, which graph could represent function \\(f\\)?

Explanation:

Identify the definition of zeros of a function

$$ f(x) = 0 \implies x\text{-intercepts are at } (-3, 0) \text{ and } (4, 0) $$

Inspect the given graph for x-intercepts

$$ \text{The graph crosses the } x\text{-axis at } x = -3 \text{ and } x = 4 $$

Determine if the graph represents function f

$$ \text{Since the } x\text{-intercepts match the zeros } -3 \text{ and } 4\text{, this graph represents } f. $$

Answer:

• (A) The graph of a parabola opening upwards with x-intercepts at -3 and 4 (Correct answer)