Question

Which function is linear?

A). f(x) = |7x| + 2
B). f(x) = 1/7x + 2
C). f(x) = 7x − 2
D). f(x) = |7x| − 2

Answer 1

C

Explanation:

i took the k12 test

Answer 2

C

Explanation:

Option C is the only one that's linear because it follows all of the rules for a line to be linear. To check, use the process of elimination:

A). When x is an absolute value, the line will not be linear because an input will have two outputs.

B). x cannot be in the denominator of a fraction for the line to be linear

D). Once again, x cannot be an absolute value.

*Note: I'm assuming in option B, 7x is in the denominator and 1 is in the numerator. If the fraction is simply​ 1/7 multiplied by x, it is linear along with C.