Question 1

Identify which is true for $f\left(x\right)=x^2-4$

Accepted Answer

None of the above

Answer

The given is not a function

Answer

The given is a one-to-one function

Answer

The inverse of the given is $f\left(x\right)=x^2-4$

Question 2

Find the inverse of $f\left(x\right)=x^2-4$

Accepted Answer

$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+4}{2}}$

Answer

$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+4}{2}}$

Answer

$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+4}{2}}$

Answer

None

Question 3

The following relations show one-to-one function, EXCEPT:

Accepted Answer

Father to a child

Answer

Fingerprint to a person

Answer

SSS ID number to SSS member

Answer

Email address to a student

Question 4

The graph of f(x) and f^-1(x) is symmetric to what line?

Accepted Answer

y = x

Answer

y = 0

Answer

y = 1

Answer

y = $f\left(x\right)=x^2-4$

Question 5

Find the inverse of f(x)=25x²-16

Accepted Answer

None

Answer

$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+4}{2}}$

Answer

$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+4}{2}}$

Answer

$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+4}{2}}$

Question 6

All statements are true EXCEPT ______________

Accepted Answer

$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+4}{2}}$

Answer

The range of f equals the domain of f^-1

Answer

The domain of f equals the range of f^-1

Answer

You need to use horizontal line test to check if the given function is one-to-one

Question 7

The formula to convert degrees Fahrenheit (F) to degrees is Celsius(C) given by the function $f\left(x\right)=x^2-4$ . Find the inverse of the function to convert Celsius to Fahrenheit.

Accepted Answer

$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+4}{2}}$

Answer

$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+4}{2}}$

Answer

$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+4}{2}}$

Answer

$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+4}{2}}$

Question 8

Determine the f^-1 in the function $f\left(x\right)=2+\frac{x}{5}$

Accepted Answer

5x-10

Answer

5x+10

Answer

5x-2

Answer

5x+2

Question 9

Jaehyun asked you to think of a nonnegative number, add three to the number, square the total, subtract it by 9 and divide everything by 4, then the result is 4. Find the number.

Accepted Answer

2

Answer

8

Answer

3

Answer

5

Question 10

Identify which given is a one-to-one function.

Accepted Answer

$f^{-1}\left(x\right)=\sqrt[3]{\frac{x+4}{2}}$

Answer

https://uploads.quizalize.com/550cc0dd-8b19-483b-b2c2-8c13ca828154/question/130444fad2da2185fc8562b3211413bb6fb328df.png

Answer

{(1,3), (5,0), (2,8), (1,4),(7,9)}

Answer

https://uploads.quizalize.com/550cc0dd-8b19-483b-b2c2-8c13ca828154/question/626b263ffc40ba38bddc039bbc3c93add051ad79.PNG

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