Graph f(x)=2x+1

Problem

ƒ(x)=2*x+1

Solution

1. Identify the type of function. This is a linear function in the slope-intercept form ƒ(x)=m*x+b where m is the slope and b is the y-intercept.

2. Determine the y-intercept. The constant term is 1 so the y-intercept is at the point (0,1)

3. Determine the slope. The coefficient of x is 2 which can be written as the fraction 2/1 This represents a "rise" of 2 units for every "run" of 1 unit to the right.

4. Find a second point. Starting from (0,1) move up 2 units and right 1 unit to reach the point (1,3)

5. Plot the points (0,1) and (1,3) on a coordinate plane and draw a straight line passing through them to complete the graph.

Final Answer

ƒ(x)=2*x+1

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