Question

Which of the following is a linear function?

A. ƒ(x) = 2/x + 7
B. ƒ(x) = √ 2 + 7x
C. ƒ(x) = 2 – 7x
D. ƒ(x) = 2 + x + x2

Answer 1

C. f(x) = 2 - 7x

Explanation:

`\text{The equation of a linear function:}\\\\f(x)=mx+b\\\\m-slope\\b-y-intercept\\----------------------------\\\\A.\ f(x)=(2)/(x)+7\qquad\bold{NOT}\ /\text{x is in denominator}/\\\\B.\ f(x)=√(2+7x)\qquad\bold{NOT}\ /\text{x is under square roots}/\\\\C.\ f(x)=2-7x\qquad\bold{YES}\ /m=-7,\ b=2/\\\\D.\ f(x)=2+x+x^2\qquad\bold{NOT}\ /\text{x is in the second power}/`