Question

function f is graphed.
graph of a function f on a coordinate plane with x-axis from -7 to 7 and y-axis from -7 to 7. the graph passes through the origin, has a minimum in the third quadrant, a maximum in the first quadrant, and intersects the x-axis at -6, 0, and 6.
according to the graph, is f even, odd, or neither?
choose 1 answer:
a even
b odd
c neither

Explanation:

An odd function satisfies \(f(-x) = -f(x)\), meaning its graph is symmetric about the origin. The given graph shows symmetry about the origin: for any point \((x, y)\) on the graph, the point \((-x, -y)\) is also on the graph. Thus, the function is odd.

Answer:

B. Odd