Question

Given f(x) = 3x – 5 which statement is true? Explain how.
(1) f(0) = 0
(2) f(3) = 4
(3) f(4) = 3
(4) f(5) = 0

Answers

  1. Answer:
    (2)
    Step-by-step explanation:
    by substituting the values of x into f(x) and evaluating
    f(0) = 3(0) – 5 = 0 – 5 = – 5 ≠ 0
    f(3) = 3(3) – 5 = 9 – 5 = 4 ← True
    f(4) = 3(4) – 5 = 12 – 5 = 7 ≠ 3
    f(5) = 3(5) – 5 = 15 – 5 = 10 ≠ 0

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  2. Hence, statement 2 is true for the equation f(x) = 3x-5

    What is equation?

    The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
    Types of Equations:
     Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1.
      Quadratic Equation: This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.
      Cubic Equation: A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3.
      Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.
    Substituting the values of x into f(x) and evaluating
    f(x) = 3x – 5
    put x = 0
    f(0) = 3(0) – 5
    = 0 – 5 = – 5
    put x = 3
    f(3) = 3(3) – 5
    = 9 – 5
    = 4
    put x = 4
    f(4) = 3(4) – 5
    = 12 – 5
    = 7
    put x = 5
    f(5) = 3(5) – 5
    = 15 – 5
    = 10
    hence statement 2 is true.
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