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DeltaMath
Khan Academy
Weekly Bellwork Ha
My IXL
DD. 4 Evaluate a nonlinear function HKG
Use the following function rule to find 
f(10)

{:[f(x)=|x|-4],[f(10)=◻]:}
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DeltaMath\newlineKhan Academy\newlineWeekly Bellwork Ha\newlineMy IXL\newlineDD. 44 Evaluate a nonlinear function HKG\newlineUse the following function rule to find f(10) f(10) \newlinef(x)=x4f(10)= \begin{array}{l} f(x)=|x|-4 \\ f(10)=\square \end{array} \newlineSubmit

Full solution

Q. DeltaMath\newlineKhan Academy\newlineWeekly Bellwork Ha\newlineMy IXL\newlineDD. 44 Evaluate a nonlinear function HKG\newlineUse the following function rule to find f(10) f(10) \newlinef(x)=x4f(10)= \begin{array}{l} f(x)=|x|-4 \\ f(10)=\square \end{array} \newlineSubmit
  1. Understand Function Rule: First, we need to understand the function rule given. The function f(x)=x4f(x) = |x| - 4 means that we take the absolute value of xx and then subtract 44 from it. To find f(10)f(10), we need to substitute xx with 1010 in the function rule.
  2. Substitute xx with 1010: Now, let's substitute xx with 1010 in the function rule: f(10)=104f(10) = |10| - 4. The absolute value of 1010 is 1010, because 1010 is already a positive number.
  3. Calculate Absolute Value: After finding the absolute value of 1010, we subtract 44 from it: 104=610 - 4 = 6. This gives us the value of the function ff at xx equals 1010.
  4. Subtract 44: Therefore, f(10)f(10) equals 66. This is the final answer.

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