Use the graph of f to find each indicated function value.

f(-2)

Verified step by step guidance

1. Identify the point on the graph where the input value (x) is -2.
2. Locate the vertical line corresponding to x = -2 on the x-axis.
3. Find the point on the curve that intersects this vertical line at x = -2.
4. Determine the y-coordinate of this intersection point, which represents f(-2).
5. Read the y-value from the graph at this point to find the function value f(-2).

Key Concepts

Function and Function Notation

A function assigns each input exactly one output. The notation f(x) represents the output of function f at input x. Understanding this notation is essential to interpret and evaluate function values from graphs or equations.

Reading Values from a Graph

To find f(x) from a graph, locate the input value x on the horizontal axis, then move vertically to the graph's curve. The corresponding y-coordinate on the vertical axis is the function value f(x). This skill is crucial for interpreting graphical data.

Coordinate Plane and Axes

The coordinate plane consists of the x-axis (horizontal) and y-axis (vertical), which intersect at the origin. Points on the plane are given as (x, y), where x is the input and y is the output. Understanding this helps in accurately reading and plotting points on a graph.