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

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

hope it helps 🙂

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.

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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.