127k views
5 votes
F(x) = x² over the interval [1,∞)
This is one-to-one

F(x) = x² over the interval [1,∞) This is one-to-one-example-1
User Adekunle
by
8.0k points

1 Answer

3 votes

Part a

we have the function


\begin{gathered} f(x)=x^4 \\ interval\text{ \lbrack1,}infinite) \end{gathered}

Remember that

A function is one-to-one if every element of the range corresponds to exactly one element of the domain

using a graphing tool

The answer Part a is

This is one-to-one

Part B

we have the function


f(x)=(e^x)^2

interval -----> All real numbers

using a graphing tool

The answer Part B is

This is one to one

Part C

we have the function


f(x)=(\log_2x)^2

Interval ----> All real numbers

The answer Part C is

Is not one to one function

Part D

we have the function


f(x)=(x-2)^4

interval [0,infinite)

using a graphing tool

The answer Part D is

Is not one to one function

Part E

we have the function


f(x)=\sqrt[3]{x}

Interval ----> all real numbers

using a graphing tool

The answer Part E is

Is one to one function

F(x) = x² over the interval [1,∞) This is one-to-one-example-1
F(x) = x² over the interval [1,∞) This is one-to-one-example-2
F(x) = x² over the interval [1,∞) This is one-to-one-example-3
F(x) = x² over the interval [1,∞) This is one-to-one-example-4
User Learning
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories