The following values represent linear function ƒ (x) and rational function g (x).

ƒ (3) = 7 g (3) = 5.6

ƒ (4) = 5 g (4) = 6.7

A. Determine whether or not there is a solution to the equation In 2-3 sentences describe whether there is a solution to the equation ƒ (x) = g (x) between x=3 and x=4. B. Use complete sentences to justify your claim.

Question

Mathematics

Alan Simpson

6 December, 21:44

The following values represent linear function ƒ (x) and rational function g (x).

ƒ (3) = 7 g (3) = 5.6

ƒ (4) = 5 g (4) = 6.7

A. Determine whether or not there is a solution to the equation In 2-3 sentences describe whether there is a solution to the equation ƒ (x) = g (x) between x=3 and x=4. B. Use complete sentences to justify your claim.

+2

Answers (1)

Know the Answer?

Hunter Hays · Answer 1

1) The linear function f (x) is continuous and monotonous in all the range.

2) The rational function g (x) may or not be monotonous and continue in the range (3,4)

3) The lack of information about continuity of the function g (x) does not permit to conclude whether f (x) = g (x) in the range (3,4).