Which graph represents the function f(x)=|x|-4?
1 answer:
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Answer: Draw a line through (0,5) and (1,2)
The graph is shown below.
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Reason:
The equation y = -3x+5 is in the form y = mx+b
m = -3 = slope
b = 5 = y intercept
The y intercept is where the graph crosses the y axis. In this case, it's at (0,5). This is one point needed.
Another point can be found by going down 3 and to the right 1 to arrive at (1,2). The motion "down 3, right 1" is from the slope of -3/1.
Therefore, this line goes through (0,5) and (1,2)
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Another approach:
Plug in x = 0 to get...
y = -3x+5
y = -3(0) + 5
y = 5
The input x = 0 leads to the output y = 5
This tells us the point (x,y) = (0,5) is on the line.
Repeat for x = 1
y = -3x+5
y = -3(1)+5
y = 2
So (1,2) is another point on the line.
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Check out the graph below.
