Mathematics
Grade10
Easy

Question

Evaluate the following piecewise function for x = -1 and x = 6.
straight f left parenthesis straight x right parenthesis equals open curly brackets table attributes columnalign right columnspacing 1em end attributes row cell negative 4 over 3 straight x plus 4 comma straight x less or equal than 6 end cell row cell 2 straight x minus 8 comma straight x greater than 6 end cell end table close

  1. (-1 , 16 over 3) and (6 , 4)
  2. (-1 , -10) and (6 , -4)
  3. (-1 , -10) and (6 , 4)
  4. (-1 , 16 over 3) and (6 , -4)

hintHint:

We simply put in the values of x's to get the values of f(x). According to this, we get the perfect pairs.

The correct answer is: (-1 , 16 over 3) and (6 , -4)


    Step 1 of 1:
    For x = -1 (<6), f(x) = (fraction numerator negative 4 over denominator 3 end fraction) x + 4 = 4 over 3 + 4 = 16 over 3. So, the pair is (-1, 16 over 3)
    x = 6 (≤6), f(x) = (fraction numerator negative 4 over denominator 3 end fraction) x + 4 = -8 + 4 = -4. So, the pair is (6, -4)
    Final Answer:
    The right choice is- b. (-1, 16 over 3) and (6, -4)

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