Question

Which function is linear? A) f(x) = 8x2 + 2 B) f(x) = 8 x + 2 C) f(x) = 8x2 − 2 D) f(x) = x 8 − 2

Answer 1

B)

Explanation:

Assuming the numbers following the variables are exponents, (ex: 8x2, x8), the only function that is linear would be option B. This is because linear functions do not have exponents following their variables. If graphed, t are a straight line.

Answer 2

Answer with Step-by-step explanation:

A linear function is of the form ax+b

A) f(x) = 8x² + 2

The above expression is not of the form ax+b

hence, it is not linear

B) f(x) = 8 x + 2

The above expression is of the form ax+b

hence, it is linear

C) f(x) = 8x² − 2

The above expression is not of the form ax+b

hence, it is not linear

D) f(x) =
`x^8-2`

The above expression is not of the form ax+b

hence, it is not linear

Hence, function which is linear is:

B) f(x) = 8 x + 2