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) The 16x 2 x +2 teacher said the function should have been f(x) 12x 2 x²+1 a. Was there ever any time at which these two functions were the same. If so, when? [A3] b. For what values of x is their derived function greater than the actual function? [A3] c. Why would you not consider any x < 0 when looking for your answer to part b? [A1]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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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)
16x
2
x +2
teacher said the function should have been
12x
f(x)
x² +1
a. Was there ever any time at which
these two functions were the same.
. The
If so, when? [A3]
b. For what values of x is their derived
function greater than the actual
function? [A3]
c. Why would you not consider any
x < 0 when looking for your answer
to part b? [A1]
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) 16x 2 x +2 teacher said the function should have been 12x f(x) x² +1 a. Was there ever any time at which these two functions were the same. . The If so, when? [A3] b. For what values of x is their derived function greater than the actual function? [A3] c. Why would you not consider any x < 0 when looking for your answer to part b? [A1]
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