Functions and Translations

Question 1

The domain of a function is the what of its inverse

Answer 1

Range

Question 2

Can you have an inverse of a many to one function

Answer 2

No

Question 3

Does y=X^2 have an inverse, why?

Answer 3

No, because it’s many to one

Question 4

What translations will these give:

1) f(x) + a
2) f(x + a)
3) af(x)
4) f(ax)
5) -f(x)
6) f(-x)
7) mod of f(x)
8) f(mod of x)

Answer 4

1) Up by a
2) Left by a
3) y values x a
4) x values times by 1/a
5) Reflection in the x axis
6) Reflection in the y axis
7) Anything below the x axis is reflected up
8) Plot all positive x values and reflect in y