If f(x) is a linear function, which statement must be true?

Question

If f(x) is a linear function, which statement must be true?

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Serenity 2 weeks 2021-11-25T16:21:53+00:00 2 Answers 0 views 0

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    0
    2021-11-25T16:22:54+00:00

    Answer:

    b. f(x) has no x2-term.

    hope it helps 🙂

    0
    2021-11-25T16:23:11+00:00

    Answer:

    Option b) f(x) has no x² term.

    Step-by-step explanation:

    The statements are:

    a) f(x) has no constant term.

    b) f(x) has no x² term.

    c) f(x) has no terms with a coefficient other than 1.

    d) f(x) has no x-term.

    ========================================

    The general form of a linear function is ⇒ f(x) = ax + b

    Where a and b are constants and x is the variable.

    According to the general form, we will check the options

    Option a: f(x) has no constant term.

    The constant term is b at the general form

    b may be equal 0 or not

    So, This statement may or may not be true.

    Option b: f(x) has no x² term.

    As shown in the general form, there is no x²

    So, This statement must be true.

    Option c: f(x) has no terms with a coefficient other than 1.

    The function can have terms with coefficients other than 1 e.g f(x) = 2x + 3. So, This statement is Wrong

    Option d: f(x) has no x-term.

    f(x) must have x term as shown at the general form

    So, This statement is Wrong

    So, the correct answer is option b.

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