Answer:
f(x) = 8x + 2
Step-by-step explanation:
An easy way to test what the function is, is to fill in x wiht one of the imputs, lets try two of the options, 0 and then -4
If we fill in the x as 0 we have
8(0) +2 = 2 (Put it into the equation equal to the output) Now simplify
0+2=2 Anything times 0 is 0, now wehave
2 = 2 This proves that the equation is correct
If we tried it with -4 we would also see it is correct
8(-4) +2 = -30 First multiply the -4 and 8 because of PEMDAS
-32 + 2 = -30 Now simplify
-30 = -30 This proves that the equation works, if you had tried one of the other equations they wouldn't have been equal if you had only used the f(x) = 8x with the 0 it wouldn't have worked
8(0) = 2
0 ≠ 2
