Problem

Given the function $f(x)=x^{2}-x+6$, find each of the following. $f(8), f(-5), f(0)$
\[
\begin{array}{l}
f(8)=\square \\
f(-5)=\square \\
f(0)=\square
\end{array}
\]
(Simplify your answers. Type an integer or a fraction.)

Answer

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Answer

So, the final answers are \(f(8)=\boxed{62}\), \(f(-5)=\boxed{36}\), and \(f(0)=\boxed{6}\).

Steps

Step 1 :The function given is \(f(x)=x^{2}-x+6\).

Step 2 :To find \(f(8)\), substitute \(x=8\) into the function to get \(f(8)=8^{2}-8+6=62\).

Step 3 :To find \(f(-5)\), substitute \(x=-5\) into the function to get \(f(-5)=(-5)^{2}-(-5)+6=36\).

Step 4 :To find \(f(0)\), substitute \(x=0\) into the function to get \(f(0)=0^{2}-0+6=6\).

Step 5 :So, the final answers are \(f(8)=\boxed{62}\), \(f(-5)=\boxed{36}\), and \(f(0)=\boxed{6}\).

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