Graph f(x)=2x-4

Problem

ƒ(x)=2*x−4

Solution

1. Identify the type of function. The equation ƒ(x)=2*x−4 is a linear function in the slope-intercept form y=m*x+b

2. Determine the y-intercept. The constant term b=−4 indicates the graph crosses the y-axis at the point (0,−4)

3. Determine the slope. The coefficient m=2 represents the slope, which can be interpreted as a "rise" of 2 units for every "run" of 1 unit to the right.

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

5. Find the x-intercept. Set ƒ(x)=0 and solve for x

0=2*x−4

2*x=4

x=2

The x-intercept is at (2,0)
6. Draw the line. Plot the points (0,−4) (1,−2) and (2,0) then draw a straight line passing through them.

Final Answer

ƒ(x)=2*x−4* is a line with slope *2* and y-intercept −4

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