Question

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

a.fx) has no constant term
b.f(x) has no x_term.
c.f(x) has no terms with a coefficient other than 1.
d.f(x) has no x-term.​

Answer 1

The statements look all false:

• A linear function can have constant terms, which is the b coefficient in the expression y=mx+b. For example, y=3x+5 has a constant term 5
• A linear function has a x term. In the same example as before, 3x is the x term
• The coefficients can be different from 1. In the example before, the x coefficient is 3 and the constant term is 5.
• This looks like option b. Maybe there was a typo, and either b or d must be true.