/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 43 Evaluate each function at the gi... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

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

Short Answer

Expert verified
a. \(f(3) = 26\) b. \(f(-4) = 19\)

Step by step solution

01

Evaluate the function \(f(x)\) at \(x = 3\)

Substitute \(x = 3\) into the function given by \(f(x) = 2x^2 + 3x - 1\). This gives: \(f(3) = 2(3)^2 + 3*3 - 1 = 2*9 + 9 - 1 = 18 + 9 - 1 = 26\)
02

Evaluate the function \(f(x)\) at \(x = -4\)

Next, substitute \(x = -4\) into the function. This gives: \(f(-4) = 2(-4)^2 + 3*(-4) - 1 = 2*16 - 12 - 1 = 32 - 12 - 1 = 19\)

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