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Evaluate the function f when we have at the indicated values. Type your answer in simplified form with descending powers of our variable. When typing an exponent use the carrot key ^ by pressing shift and 6. For example, x squared can be typed x^2.Do not include any spaces between characters.f(x)=|x-1|-|x+1|f(-a)=Answerf(a+h)=Answer

Evaluate the function f when we have at the indicated values Type your answer in simplified form with descending powers of our variable When typing an exponent class=

Respuesta :

Step 1:

Write the parent function

[tex]f(x)\text{ = |x - 1| - |x + 1|}[/tex]

Step 2:

To find f(-a), substitute x = -a

[tex]\begin{gathered} f(x)\text{ = |x - 1| - | x + a|} \\ \text{Absolute function of x is represented by |x| and absolute value} \\ of\text{ -x is |-x| = |x|} \end{gathered}[/tex][tex]\begin{gathered} \text{Therefore} \\ f(-a)\text{ = | -a - 1| - |-a + 1|} \\ f(-a)\text{ = |-(a+1)| - |-(a - 1)|} \\ f(-a)=\text{ |a + 1| - | a - 1|} \end{gathered}[/tex]

Step 3:

[tex]\begin{gathered} f(x\text{) = |x - 1| - |x + 1|} \\ f(a\text{ + h) = |a + h -1| - |a + h + 1| } \end{gathered}[/tex]