Graph f(x)=2

Problem

ƒ(x)=2

Solution

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

2. Determine the geometric representation. In a Cartesian coordinate system, a constant function ƒ(x)=c represents a horizontal line.

3. Locate the y-intercept. Since ƒ(x)=2 the line passes through the point (0,2) on the y-axis.

4. Plot additional points to verify the direction. For any value of x such as x=−2 x=1 or x=5 the corresponding y-value is always 2 This results in points like (−2,2) (1,2) and (5,2)

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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