Functions

Question 1

Function

Answer 1

Takes an input, applies a given rule or operations, then gives an output

Question 2

Domain

Answer 2

Set of all inputs

Question 3

Range

Answer 3

Set of all outputs

Question 4

One-one function

Answer 4

Every input has a unique output and every output has a unique input

Question 5

Many-one function

Answer 5

More than one input gives the same output

Question 6

Inverse function

Answer 6

A function that does the opposite of another

Question 7

Composite function

Answer 7

A function that is applied to the result of another function

Question 8

Find the inverse of f(x) = (3x-1)/2x+5

Answer 8

x=(3y-1)/2y+5
2yx+5x=3y-1
y(2x-3)=-1-5x
y=-(5x+1)/2x-3=f^|(x)

Question 9

What does an inverse function look like on a graph?

Answer 9

Reflected in the line y=x

Question 10

When can an inverse function exist?

Answer 10

Only if the function is one-one