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Give an example of a quadratic function. Identify its quadratic term, linear term, and constant term.

Short Answer

Expert verified

The quadratic equation is f(x)=2x2+3x+10.

The quadratic term is 2, linear term is 3 and constant term is 10.

Step by step solution

01

Step 1. Use the concept of quadratic function.

A quadratic function is described by an equation of the following form.

f(x)=ax2+bx+c,a≠0

Where,

a is quadratic term

b is linear term

c is constant term

02

Step 2. Calculation.

A quadratic function is of the form f(x)=ax2+bx+c,a≠0

So, consider the quadratic function

f(x)=2x2+3x+10

03

Step 3. Conclusion.

Comparing the quadratic function f(x)=2x2+3x+10with f(x)=ax2+bx+c,a≠0, we have

a=2b=3c=10

So, quadratic term is 2, linear term is 3 and constant term is 10.

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