Graph f(x)=4

Problem

ƒ(x)=4

Solution

1. Identify the type of function. The function ƒ(x)=4 is a constant function, which means the output value is always 4 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. Locate the y-intercept. Since ƒ(x)=4 the line passes through the point (0,4) on the y-axis.

4. Plot additional points to confirm the direction. For any value of x such as x=−2 or x=3 the corresponding y-value is 4 This results in points like (−2,4) and (3,4)

5. Draw a straight horizontal line passing through all points where the y-coordinate is 4

Final Answer

ƒ(x)=4* is a horizontal line passing through *(0,4)

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