Colleen and Martin are modeling the data shown. Colleen thinks the model should be f(x)=5.754^x3+2.912x^2−7.516x0.349. Martin thinks it should be f(x)

Suman Cole

Suman Cole

Answered question

2021-06-06

Colleen and Martin are modeling the data shown. Colleen thinks the model should be f(x)=5.754x3+2.912x27.516x0.349. Martin thinks it should be f(x)=3.697x2+11.734x2.476. Is either of them correct? Explain your reasoning.
f(x) -2-190.5-2 -1511.5 00.4243

Answer & Explanation

SabadisO

SabadisO

Skilled2021-06-07Added 108 answers

The data suggests that there are two turning points, therefore, a cubic function is a better representation than a quadratic function. Using the cubic regression function on a graphing calculator, we getf(x)=5.754x3+2.912x27.516x+0.349

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