Functions

Question 1

What are the different types of functions

Answer 1

one to one function, many to one function

Question 2

why is ‘one to many’ not a function?

Answer 2

one input cannot go to many answers (outputs)

Question 3

what does f(x) = x + 7 mean

Answer 3

the function f takes x to x + 7

Question 4

What are the steps to calculating the inverse of a function

Answer 4

1. replace f(x) with y
2. rearrange to find x
3. replace x with f^-1(x) and y with x
4. Swap around the values for the domain and range

Question 5

what is the purpose of limits of functions

Answer 5

to find approximations for equations

Question 6

say we had the equation f(x) = 2^x as x tends to 0,(find an approx to 5dp), what would we do here?

Answer 6

we would substitute suitable values of x, each time using a value closer and closer to 0 till we get 2 values that to 5dp are the same. in this case the answer would be 1.00000