Mathematics
Grade10
Easy

Question

Evaluate the function p left parenthesis x right parenthesis equals negative left parenthesis x minus 1 right parenthesis text  for  end text x equals 0 text  and  end text x equals 5

  1. p left parenthesis 0 right parenthesis equals negative 1 comma p left parenthesis 5 right parenthesis equals 4
  2. p left parenthesis 0 right parenthesis equals negative 1 comma p left parenthesis 5 right parenthesis equals negative 6
  3. p left parenthesis 0 right parenthesis equals 1 comma p left parenthesis 5 right parenthesis equals negative 4
  4. p left parenthesis 0 right parenthesis equals 1 comma p left parenthesis 5 right parenthesis equals 4

hintHint:

This question is about a function. A function is a relation between two sets such that every element of first set is related to only one element in second set. In this question, we are given the relation between the input and output of the function. We are asked to find the value of function for a specific values.

The correct answer is: p left parenthesis 0 right parenthesis equals 1 comma p left parenthesis 5 right parenthesis equals negative 4


    The given function is p(x) = -(x – 1)


    We have to find the value of p(x) for x = 0 and x = 5
    When we substitute the value of x in the function, we get the value of the function for that input.
    First, we have x = 0
    We will replace all the x in the above equation by 0. Then, we will solve the equation and get the required value.
    p(x) = -(x – 1)
    p(0) = -[(0) – 1]
    = -(-1)
    p(0) = 1
    Now, x = 5
    p(x) = -(x – 1)
    p(5) = -[(5) – 1]
    = -(4)
    p(-5) = -4
    So, the answers are p(0) = 1 and p(-5) = -4.

    For such questions, we should know the concept of the function.

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