CCSS.HSF-LE.A.3.Q.A1.CQE.4 - Function f is defined by f(x) = 2.5^{x}. Function g is defined by g(x) = 600 x^{2} + 375x

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CCSS.HSF-LE.A.3.Q.A1.CQE.4 CCSS.HSF-BF.A.1.a.Q.A1.CQE.4 CCSS.HSF-IF.C.Q.A1.CQE.4 HSF-BF.A.1.a HSF-IF.C HSF-LE.A.3 unit 6 lesson 4

Anonymous

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Which function is quadratic? Which one is exponential?
The values of which function will eventually be greater for larger and larger values of ?

Sangeetha Pulapaka (last edited 2 years ago) (Expert, Educator @Qalaxia)

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The function g(x) is quadratic because it is in the form y = ax^{2}+b x+c. It has a highest degree of 2. The function f(x) is exponential because it is in the form y = ab^{x}, this shows it has a common growth factor of 2.5.
The values of the exponential function will be greater for larger and larger values of x.

Skills you may want to recall:

What is a quadratic function:

What is an exponential function: