1.Let f(x) = 12x^9 + x. Find f(3) + f(-3).

2.Which of these rules are functions? Select all that apply.

A inputs a real number, subtracts 100, then outputs the square root of the result if it is real.

B inputs a date, then outputs the name of a person born on that date.

C inputs a real number x , then outputs a real number y that is less than 1/(1000) larger than x.

D inputs a real number x , then outputs the result of the calculation .

E inputs a real number , then a coin is flipped. If the coin flips heads, the output is x+2 . If the coin flips tails, the output is x+3 .

F inputs a person, then outputs their birth date.

Write your answer as a list, separated by commas, with no other punctuation. Sample answer: A, B, D, E

4. Let \(f(x) = \dfrac{2-3x}{5-2x}.\) For what value of f(a)=3?

5. Let \(f(x) = \frac{3x + 3}{x + 1}.\) Find the domain of \(f\). Write your answer as interval notation.

6. Let \(Q(x) = \frac{2}{\sqrt{x}}.\) Find the domain of q. Write your answer in interval notation.

Guest Oct 30, 2022