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.
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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
<u>Option a: </u>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.
<u>Option b: </u>f(x) has no x² term.
As shown in the general form, there is no x²
So, This statement must be <u>true</u>.
<u>Option c: </u>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 <u>Wrong</u>
<u>Option d:</u> f(x) has no x-term.
f(x) must have x term as shown at the general form
So, This statement is <u>Wrong</u>
<u>So, the correct answer is option b.</u>
