Graph                       by
making a table of values.
                                 x    f(x)
                                 –4     5
 Answer:                         –3    –4
                                 –2    –3
                                 –1     2
                                  0     5
                                  1     0
                                  2   –19
Determine consecutive values of x between which
each real zero of the function
is located. Then draw the graph.

                         change in signs means
      x         f (x)    the x-axis was crossed
     –2          9
                         change in signs
     –1          –1
                         change in signs
      0          1
                         change in signs
      1          –3
      2          –7
                         change in signs
      3          19

 There are zeros between x = –2 and –1, x = –1
 and 0, x = 0 and 1, and x = 2 and 3.
x    f (x)
–2    9
–1    –1
0     1
1     –3
2     –7
3     19
Graph                      Estimate the
x-coordinates at which the relative maximum and
relative minimum occur.


    x         f (x)
    –2        –19
    –1          0
     0          5
     1          2
     2         –3
     3         –4
     4          5
     5         30

         relative maximum at about x = 0
         relative minimum at about x = 3

Alg2 lesson 7-2

  • 1.
    Graph by making a table of values. x f(x) –4 5 Answer: –3 –4 –2 –3 –1 2 0 5 1 0 2 –19
  • 2.
    Determine consecutive valuesof x between which each real zero of the function is located. Then draw the graph. change in signs means x f (x) the x-axis was crossed –2 9 change in signs –1 –1 change in signs 0 1 change in signs 1 –3 2 –7 change in signs 3 19 There are zeros between x = –2 and –1, x = –1 and 0, x = 0 and 1, and x = 2 and 3.
  • 3.
    x f (x) –2 9 –1 –1 0 1 1 –3 2 –7 3 19
  • 4.
    Graph Estimate the x-coordinates at which the relative maximum and relative minimum occur. x f (x) –2 –19 –1 0 0 5 1 2 2 –3 3 –4 4 5 5 30 relative maximum at about x = 0 relative minimum at about x = 3