Summative Test- Inverse of One-to-one Functions

Mabuhay National High School has its own School ID which is 143142 while other school also has their own school ID. Which rule represent the given statement?

• One-to-one

• Many-to-one

• One-to-many

• Many-to-many

If a ___________ can intersect the graph of the function, more than one time then the function is not mapped as one-to-one.

• Vertical Line Test

• T-test

• Horizontal Line Test

• Z-test

Which test is used to determine if the given is a one-to-one function?

• Vertical Line Test

• Horizontal Line Test

• Both

• None of the above

What is the inverse of addition?

• division

• multiplication

• subtraction

• composition

Which function/s has/have inverse function?

• one-to-one

• many-to-one

• both

• none

What is the mathematical symbol for inverse of 𝑓(𝑥)?

• $f^1\left(x\right)$

• $f\left(x\right)^{-1}$

• $f^x$

• 
  

  $f^{-1}\left(x\right)$

What is the inverse of 3x – 4?

• $\frac{\left(x+3\right)}{4}$

• $\frac{\left(x-3\right)}{4}$
  

• $\frac{\left(x\ +\ 4\right)}{3}$

• $\frac{\left(x-4\right)}{3}$

What is the inverse of

 $a^3\ +\ 5$  ?

•  $^3\sqrt{a\ +5}$  

•  $3a\ -\ 5$  

•  $\frac{\left(a\ -\ 5\right)}{3}$  

•  $^3\sqrt{a-5}$  

What is the inverse of -2x + 7?

• $-\frac{\left(x-7\right)}{2}$

• $\frac{\left(x-7\right)}{2}$

• $-\frac{\left(x\ +\ 7\right)}{2}$

• $\frac{\left(x+7\right)}{2}$

What is the inverse function of  $f\left(c\right)=\frac{\left(2c+1\right)}{4c-5}$  ?

•  $f^{-1}\left(c\right)=\ \frac{\left(5c-1\right)}{4c-2}$  

•  $f^{-1}\left(c\right)=\ \frac{\left(5c+1\right)}{4c-2}$  

•  $f^{-1}\left(c\right)=\ \frac{\left(5c+1\right)}{4c-2}$  

•  $f^{-1}\left(c\right)=\ \frac{\left(5c+1\right)}{4c+2}$