Applying and analysing functions

Is this function invertible? In other words is it one to one?

• No

• Yes

• No way to tell

To which intervals could we restrict the domain of f(x) to make it an invertible function? Choose all answers that apply.

• -4 ≤ x < 0

• 0 < x ≤ 4

• 4 ≤ x < 8

• none of the above

What would be a proper domain restriction so that the inverse is a function? (Hint: There is more than one correct answer)

The range of  $f\left(x\right)=2^{x+3}$  is  $\left(0,\ +\infty\right)$ 

What is the domain of  $f^{-1}\left(x\right)$ ?

•  $\left(0,\ +\infty\right)$  

•  $\left(-3,\ +\infty\right)$  

•  $\left(-\infty,\ +\infty\right)$  

•  $\left(2,\ +\infty\right)$  

Find the inverse of the function!

f(x)=(x+1)²+4

• [-1, 1]

• All real numbers

• 
• 
• 

• none of these

What is the inverse quadratic function?

• f^-1(x) = x²

• f^-1(x) = ±√x

• f^-1(x) = -x²

• It doesn't have an inverse.

You restrict the domain when...

• The inverse is not a function

• The inverse is a function

Restricting the domain is another way to say restricting the...

• y-values

• x-values

• Odd numbers

• Even numbers