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Chapter 7: Problem 44

Evaluate each function at the given value of the variable. \(f(x)=3 x^{2}+4 x-2\) a. \(f(2)\) b. \(f(-1)\)

Short Answer

Expert verified
The values of the function are \(f(2)=18\) and \(f(-1)=-3\).

Step by step solution

01

- Substitution of x=2

Substitute \(x = 2\) into the function \(f(x)=3x^{2}+4x-2\). We get \(f(2)=3*(2)^{2}+4*2-2\).
02

- Evaluation of f(2)

Calculate the expression to get the value of \(f(2)\). After calculations, \(f(2) = 3*(4)+4*2-2 = 12+8-2 = 18\).
03

- Substitution of x=-1

Substitute \(x = -1\) into the function \(f(x)=3x^{2}+4x-2\). We get \(f(-1) = 3*(-1)^{2}+4*(-1)-2\).
04

- Evaluation of f(-1)

Calculate the expression to get the value of \(f(-1)\). After calculations, \(f(-1) = 3*(1)-4-2 = 3-6 = -3\).

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