Notice that the pattern is "previous term plus 2". This is an arithmetic sequence where the difference (d) equals +2
= a₁ + d(n - 1) ; where a₁ is the first term, d is the difference, and n is the term.
f(n) = 1 + 2(n - 1)
f(n) = 1 + 2n - 2
f(n) = 2n - 1
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f(10) = 2(10) - 1
f(10) = 20 - 1
f(10) = 19
Because there is an absolute value in this equation around the x and and you are only adding something to that, we know that this will always be positive. This eliminates all the choices except for [1,infinity), the third option.
Let's do process of elimination
a) 2 is part of the set and 2 is not greater than 2. NO
b) 5 and 10 in the set are divisible by 5. NO
c) 2,4,6,8,10 are even but the rest are odd ( BUT note the word "or"). the rest are less than 12. YES
d) 0 and 1 are the only numbers that are neither prime nor composite (they're not even part of the set). NO
e) the square root of 9 is 3 so the maximum number is 9 (but what happened to 10?) NO
Answer: -1/2(x-24)(x-8)
Step-by-step explanation:
