1.7 Warmup Solution

Problem

1. Show the points (0, -4) and (3, 2) are on the graph of .



2. Find the x & y intercepts of the graph of the function

Solution

1. To show the points lie on the graph we must evaluate the function at the given x & y values. To check the first point, we will let x = 0 and y = -4:
   
   -4 = 2(0)-4
   -4 = -4, so the point (0, -4) lies on the graph.
   
   To check the second point, we will let x = 3 and y = 2
   
   2 = 2(3)-4
   2 = 2, so the point (3, 2) also lies on the graph.
   
   
2. To find the x-intercept, we let y =0 and solve for x :
0 = 2x – 4

4 = 2x
2 = x
The x-intercept is (2, 0).

To find the y-intercept, we let x = 0 and solve for y:
y = 2(0)-4
y = -4
The y-intercept is (0, -4)

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