Question

use the graph of the function (f) shown to determine the (y)-intercept.

((x, y) = left( \text{ }
ight))

Explanation:

Identify the definition of a y-intercept

The \(y\)-intercept of a graph is the point where the graph crosses the vertical \(y\)-axis. Since any point on the \(y\)-axis has an \(x\)-coordinate of \(0\), we look for the point on the graph of the Definition of a Function \(f(x)\) where \(x = 0\).

Locate the point on the graph

By examining the given graph of \(f(x)\), we locate the point where the curve intersects the vertical \(y\)-axis. The graph explicitly labels this intersection point as \((0, 2)\).

Formulate the final coordinate pair

The question asks for the \(y\)-intercept in the coordinate form \((x, y)\). Since the \(x\)-coordinate is \(0\) and the corresponding \(y\)-value is \(2\), the coordinate pair representing the \(y\)-intercept is \((0, 2)\).

Answer:

Use the graph of the function f shown to determine the y-intercept.

\((x, y) =\) <blank>\((0, 2)\)</blank>