4. In a chemistry class, the students in a lab derived a function to model the results of their experiment on the effect of heat on a chemical where x represents the number of minutes heat was applied at a constant temperature set by the lab instructions. Their function was f(x) = -2° The 16x x +2 teacher said the function should have been 12x f(x) 2 x² +1 = a. Was there ever any time at which these two functions were the same. If so, when? b. For what values of x is their derived function greater than the actual function? c. Why would you not consider any x < 0 when looking for your answer to part b?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 7E
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4. In a chemistry class, the students in a lab
derived a function to model the results of
their experiment on the effect of heat on a
chemical where x represents the number of
minutes heat was applied at a constant
temperature set by the lab instructions.
Their function was f(x) = -2° The
16x
x +2
teacher said the function should have been
12x
f(x)
2
x² +1
=
a.
Was there ever any time at which
these two functions were the same.
If so, when?
b. For what values of x is their derived
function greater than the actual
function?
c. Why would you not consider any
x < 0 when looking for your answer
to part b?
Transcribed Image Text:4. In a chemistry class, the students in a lab derived a function to model the results of their experiment on the effect of heat on a chemical where x represents the number of minutes heat was applied at a constant temperature set by the lab instructions. Their function was f(x) = -2° The 16x x +2 teacher said the function should have been 12x f(x) 2 x² +1 = a. Was there ever any time at which these two functions were the same. If so, when? b. For what values of x is their derived function greater than the actual function? c. Why would you not consider any x < 0 when looking for your answer to part b?
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