Graph f(x)=3

Problem

ƒ(x)=3

Solution

1. Identify the type of function. The equation ƒ(x)=3 is a constant function, which means the output value is always 3 regardless of the input x

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

3. Find the y-intercept. Since ƒ(0)=3 the line crosses the y-axis at the point (0,3)

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 3 This results in points like (−2,3) (1,3) and (5,3)

5. Draw a straight horizontal line passing through all points where the y-coordinate is 3

Final Answer

ƒ(x)=3* is a horizontal line passing through *(0,3)

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