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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  $\dfrac{x^2-1}{(x-1)(x+1)}$.

 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.

 Oct 30, 2022
 #1
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1. f(3) + f(-3) = 12.

 

2. The functions are B, C, E, and F.

 Oct 30, 2022
 #2
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Both answers are incorrect

 Oct 30, 2022
 #3
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4. The answer is -11/4.

 

5. The domain is (-1,inf].

 

6. The domain is [0,inf].

 Oct 30, 2022

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