Graph f(x)=-2

Problem

ƒ(x)=−2

Solution

1. Identify the type of function. The expression ƒ(x)=−2 is a constant function, which means the output y is always −2 regardless of the value of x

2. Determine the geometric representation. In a Cartesian coordinate system, a constant function y=c represents a horizontal line.

3. Locate the y-intercept. Since y is always −2 the line passes through the point (0,−2) on the y-axis.

4. Plot additional points to verify the direction. For any x such as x=−3 x=1 or x=5 the corresponding y value is always −2

5. Draw a straight horizontal line passing through all points where the y-coordinate is −2

Final Answer

ƒ(x)=−2

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