Answers


    1. \( 2 \)
    2. \( -8 \)
    3. \( 16 \)
    4. \( -2 \)
    5. \( -1 \)
    6. \( 1 \)
    1. \( 13 \)
    2. \( 0 \)
    3. \( 60 \)
    4. \( 6 \)
    5. \( -2 \)
    6. \( 16 \)
    1. Property \( 6 \)
    2. Properties \( 3 \) and \( 7 \)
    3. Properties \( 3 \) and \( 4 \)
  4. \( -1 \)
  5. \( \frac{1}{2} \)
  6. \( 3 \)
  7. Answers may vary; two such functions are \( f(x) = \dfrac{1}{x} \) and \( g(x) = -\dfrac{1}{x} \).
  8. Answers may vary; one such function is\[ f(x) = \begin{cases} 1 &\text{if } x \gt 0 \\ -1 &\text{if } x \leq 0 \end{cases} \] Piecewise function; y=-1 for x<=0, y=1 for x>0