Suppose f is an increasing function and that f assigns the following values:
f(9) = 9, f(10) = 10, f(7) = 5, f(3) = – 4, f(5) = 3 and f(4) = – 1.

Respuesta :

Answer:

A value between 3 and 5 (exclusive of both) will do.

Example: You could choose 4 as a possible value.

Step-by-step explanation:

[tex]f(9)=9[/tex] means you have the ordered pair (9,9) on your graph.

[tex]f(10)=10[/tex] means you have the ordered pair (10,10) on your graph.

[tex]f(7)=5[/tex] means you have the ordered pair (7,5) on your graph.

[tex]f(3)=-4[/tex] means you have the ordered pair (3,-4) on your graph.

[tex]f(5)=3[/tex] means you have the ordered pair (5,3) on your graph.

[tex]f(4)=-1[/tex] means you have the ordered pair (4,-1) on your graph.

Since f is increasing f(6) can be any value between 3 and 5, exclusive.

So you can assign any value for [tex]f(6)[/tex] such that [tex]3<f(6)<5[/tex]. We cannot conclude with out further information what value between 3 and 5, exclusive.

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