Functions

Question 1

What is a function?

Answer 1

Function is the relationship between two sets of numbers, numbers you put into the function and numbers that come out

Question 2

What is the varaible for input of a function ?

Answer 2

x

Question 3

What is the variable for output of a function?

Answer 3

f(x) or sometimes y

Question 4

if f(x) = x^2 + 5 
then what is f(4) = ?

Answer 4

f(4) = 4^2 + 5 which equals 21

Question 5

For all integers a and b, let a ^ b = 1 / (a + b). What is the value of 3 ^ 4 ?

Answer 5

All you do is plug in numbers and follow the instructions to get
1/ (3 + 4) which equals 1/7

Question 6

For all integers k, let *k = 45 - k. What is the value of (40)?

Answer 6

• k = 45 - k
• 40 = 45 - 40
• 40 = 5
• 5 = 45 - 5
• 5 = 40

So (40) = 40

Question 7

If f(x) = x^2 + 3 and f(t) = 4, which of the following could be the value of t?

1
4
7
16
19

Answer 7

= 1

Question 8

For all integers x, let f(x) be defined as the function:

f(x) = { x/2 if x is even
{ 3x + 1 if x is odd

Question 9

input of function = ?

Answer 9

domain

Question 10

output of function = ?

Answer 10

range

Question 11

For all positive integers greater than 1, let x * y be defined as the remainder when x is divided by y,

QA: 5 * 6

QB: 6 * 5

Answer 11

Answer:
QA: 5 * 6 = 5

QB: 6 * 5 = 1

answer = A