Quiz about One to One and Inverse Functions

Question 1

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?

Accepted Answer

One-to-one

Answer

Many-to-one

Answer

One-to-many

Answer

Many-to-many

Question 2

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

Accepted Answer

Horizontal Line Test

Answer

Vertical Line Test

Answer

T-test

Answer

Z-test

Question 3

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

Accepted Answer

Both

Answer

Vertical Line Test

Answer

Horizontal Line Test

Answer

None of the above

Question 4

What is the inverse of addition?

Accepted Answer

subtraction

Answer

division

Answer

multiplication

Answer

composition

Question 5

Which function/s has/have inverse function?

Accepted Answer

one-to-one

Answer

many-to-one

Answer

both

Answer

none

Question 6

What is the inverse of

$$a^3\ +\ 5$$ ?

Accepted Answer

$$^3\sqrt{a-5}$$

Answer

$$^3\sqrt{a\ +5}$$

Answer

$$3a\ -\ 5$$

Answer

$$\frac{\left(a\ -\ 5\right)}{3}$$

Question 7

What is the inverse of -2x + 7?

Accepted Answer

$$-\frac{\left(x-7\right)}{2}$$

Answer

$$\frac{\left(x-7\right)}{2}$$

Answer

$$-\frac{\left(x\ +\ 7\right)}{2}$$

Answer

$$\frac{\left(x+7\right)}{2}$$

Question 8

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

Accepted Answer

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

Answer

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

Answer

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

Question 9

Which is not involved in the process of finding the inverse of a function?

Accepted Answer

Write in the function in the simplest form.

Answer

Write the function in the form y = f(x).

Answer

Interchange the x and y variables..

Answer

Solve for y in terms of x.

Question 10

Which of the following is not allowed as the value of the independent variable if the function is a fraction?

Accepted Answer

zero

Answer

decimal number

Answer

negative number

Answer

irrational number

Question 11

Consider the function f(x) = $$\frac{3}{x+1}$$ , what are the domain of the function?

Accepted Answer

the set of all real numbers except -1

Answer

the set of all real numbers

Answer

the set of all real numbers except 1

Answer

the set of all real numbers except 0

Question 12

Consider the function f(x) = $$\frac{3}{x+1}$$ , what are the range of the function?

Accepted Answer

the set of all real numbers except -1

Answer

the set of all real numbers

Answer

the set of all real numbers except 1

Answer

the set of all real numbers except 0

Question 13

Consider the function f(x) = $$\frac{3}{x+1}$$ , what is its inverse?

Accepted Answer

$$f^{-1}\left(x\right)=\frac{\left(3-x\right)}{x}$$

Answer

$$f^{-1}\left(x\right)=\frac{\left(x+3\right)}{x}$$

Answer

$$f^{-1}\left(x\right)=\frac{\left(-x-3\right)}{x}$$

Answer

$$f^{-1}\left(x\right)=\frac{\left(x-3\right)}{x}$$

Question 14

Which of the following is not TRUE?

Accepted Answer

range of f = range of the inverse of f

Answer

domain of f = range of the inverse of f

Answer

range of f = domain of the inverse of f

Answer

if f is one-to-one, its inverse is also one-to-one

Question 15

The inverse of a function is $$f^{-1}\left(x\right)=\frac{\left(x-3\right)}{x+4}$$ . What are the domain of the original function?

Accepted Answer

set of all real numbers except 1

Answer

set of real numbers except -4

Answer

set of all real numbers except -1

Answer

set of all real numbers except 4

Question 16

The inverse of a function is $$f^{-1}\left(x\right)=\frac{\left(x-3\right)}{x+4}$$ . What are the range of the original function?

Accepted Answer

set of real numbers except -4

Answer

set of all real numbers except -1

Answer

set of all real numbers except 1

Answer

set of all real numbers except 4

One to One and Inverse Functions

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