One-to-One and Inverse Function

For the following function to be a one-to-one function, x cannot be what values?

 $\left\{\left(20,\ 21\right),\left(21,\ 14\right),\ \left(110,112\right),\left(x,7\right)\right\}$  

•  $20,\ 21,\ 11$  

•  $20,\ 121,\ 110$  

•  $20,\ 21,\ 110$  

•  $12,\ 21,110$  

Does the given function have an inverse?

• Yes

• No

Does the given function have an inverse?

• Yes

• No

Does the given function have an inverse?

• Yes

• No

 $\left\{\left(3,28\right),\ \left(4,29\right),\ \left(6,31\right),\left(4,30\right)\right\}$  

• One-to-one function 

• Not one-to-one function

 $x=y^2\ +2$  , does the given function have an inverse?

• Yes

• No

A function is said to be one-to-one if and only if  $f\left(a\right)=f\left(b\right)$  leads directly to  $\left(a\right)\ =\ \left(b\right)$  

• True

• False

 $\left\{\left(3,4\right),\left(5,9\right),\left(7,y\right)\left(9,-4\right)\right\}$  

For the following function to be a one-to-one function y cannot be what values? List the values form least to greatest separated by comma and no spaces.

 $\left\{\left(5,4\right),\left(x,9\right),\left(8,-5\right)\left(3,-5\right)\right\}$  

For the following function to be a one-to-one function x cannot be what values? List the values form least to greatest separated by comma and no spaces.

• One-to-one function 

• Not one-to-one function