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Chapter 1: Q. 15 (page 14)

Plot the points (2,0),(2,-3),(2,4),(2,1), and (2,-1). Describe the set of all points of the form (2,y), where y is a real number.

Short Answer

Expert verified

The points will be on a vertical line that is 2 units to the right of the y-axis. The graph is in step 2.

Step by step solution

01

Step 1. Given information.

The given points are (2,0),(2,-3),(2,4),(2,1),and (2,-1).

02

Step 2. Plot the points.

Plot the points on a coordinate plane and then connect them by a straight line as shown below.

03

Step 3. Conclusion.

The points will be on a vertical line that is 2 units to the right of the y-axis. The graph is in step 2.

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Most popular questions from this chapter

The equation 2x-y=Cdefines a family of lines, one line for each value of C. On one set of coordinate axes, graph the members of the family when C=-4,C=0and C=2. Can you draw a conclusion from the graph about each member of the family?

The figure shows the graph of two perpendicular lines. Which of the following pairs of equations might have such a graph?

(a)y-2x=2y+2x=-1(b)y-2x=02y+x=0(c)2y-x=22y+x=-2(d)y-2x=2x+2y=-1(e)2x+y=-22y+x=-2

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

3x2=4x+4

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x+1=4

Tell whether the given points are on the graph of the equation.

Equation:y=x3-2xPoints:(0,0);(1,1);(1,-1)
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