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Use the equation of f(x) below to evaluate the following: x?, x < 0 f(x)= {2, 03 4. f(-4) 5. f(3) 6. f(12) 0

Use the equation of f(x) below to evaluate the following: x?, x < 0 f(x)= {2, 03 4. f-example-1
User Camilo Silva
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1 Answer

17 votes
17 votes

For point 4. Since -4 is less than zero, that is


-4<0

then to find f(-4) replace x = -4 into x², like this


\begin{gathered} f(-4)=(-4)^2 \\ f(-4)=16 \end{gathered}

For point 5. Since 3 is in the interval


0\le x\le3

then


f(3)=2

Finally, for point 6. Since 12 is greater than 3, that is


12>3

then to find f(12) replace x = 12 into 4-x, like this


\begin{gathered} f(12)=4-12 \\ f(12)=-8 \end{gathered}

User Richard Collette
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