Algebra Know-It-ALL

and

y= (x− 1)^2

How can we sketch an approximate graph of this system, showing the real solution?

Answer 28-6

We can tabulate and plot several points in both functions including the real solution, (0,1).

Table 30-3 compares some values of x, some values of the first function, and some values of

the second function. Figure 30-7 shows the curves and the solution point. On the x axis, each

increment is 1/2 unit. On the y axis, each increment is 2 units.

x

y

Solution Solution

Figure 30-6 Illustration for Answer 28-5. The first function

is graphed as a solid curve; the second function is

graphed as a dashed curve. Real-number solutions

appear as points where the curves intersect. On both

axes, each increment is 1 unit.

534 Review Questions and Answers

Table 30-3. Selected values for graphing the functions

y= (x+ 1)^2 and y= (x− 1)^2.

The bold entry indicates the real solution.

x (x+ 1)^2 (x− 1)^2

−3 4 16

−2 1 9

−1 0 4

0 1 1

1 4 0

2 9 1

3 16 4