Graph f(x)=2-0.4x

Problem

ƒ(x)=2−0.4*x

Solution

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

2. Determine the y-intercept. By setting x=0 we find ƒ(0)=2 The graph crosses the y-axis at the point (0,2)

3. Determine the slope. The slope m is −0.4 which can be written as the fraction −2/5 This means for every 5 units moved to the right, the graph moves 2 units down.

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

0=2−0.4*x

0.4*x=2

x=5

The graph crosses the x-axis at the point (5,0)
5. Plot the points (0,2) and (5,0) on a coordinate plane and draw a straight line through them to represent the function.

Final Answer

ƒ(x)=−0.4*x+2

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