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Understanding Inverse Functions: Graphs, Solutions, and Properties

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<p>The table below shows the values of f(x) when f(x) = 2x-3:</p>
<p>| x   | f(x) |<br />
| --- | ---- |<br />
| 1   | -1   |<br />
| 5   |

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<p>The table below shows the values of f(x) when f(x) = 2x-3:</p>
<p>| x   | f(x) |<br />
| --- | ---- |<br />
| 1   | -1   |<br />
| 5   |

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Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy


<p>The table below shows the values of f(x) when f(x) = 2x-3:</p>
<p>| x   | f(x) |<br />
| --- | ---- |<br />
| 1   | -1   |<br />
| 5   |

Sign up

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy


<p>The table below shows the values of f(x) when f(x) = 2x-3:</p>
<p>| x   | f(x) |<br />
| --- | ---- |<br />
| 1   | -1   |<br />
| 5   |

Sign up

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

The table below shows the values of f(x) when f(x) = 2x-3:

| x | f(x) |
| --- | ---- |
| 1 | -1 |
| 5 | 7 |

Now let's find the domain and range for the function f(x) = 2x-3.

The function f(x) = 2x-3 is defined for all real numbers, so its domain is (-∞, +∞). The range of the function is also all real numbers, so its range is (-∞, +∞).

The graph of the function f(x) = 2x-3 is a straight line with a slope of 2 and a y-intercept of -3.

Yes, the function f(x) = 2x-3 is continuous for all real numbers.

The graph of the inverse function f-1(x) for f(x) = 2x-3 will be a reflection of the graph of f(x) = 2x-3 over the line y = x.

No, f(x)=2x^3 is not an exponential function. An exponential function has the form f(x) = a^x, where a is a constant and x is the variable.

Summary - Algebra 1

  • f(x)=2x-3 is a linear function
  • Domain of f(x)=2x-3 is all real numbers
  • Range of f(x)=2x-3 is also all real numbers
  • f(x)=2x-3 is continuous for all real numbers
  • f(x)=2x^3 is not an exponential function

128 Followers

Frequently asked questions on the topic of Algebra 1

Q: What is the domain of the function f(x) = 2x-3?

A: The function f(x) = 2x-3 is defined for all real numbers, so its domain is (-∞, +∞).

Q: What is the range of the function f(x) = 2x-3?

A: The range of the function f(x) = 2x-3 is also all real numbers, so its range is (-∞, +∞).

Q: Is f(x)=2x-3 continuous or not?

A: Yes, the function f(x) = 2x-3 is continuous for all real numbers.

Q: What does the graph of the inverse function f-1(x) for f(x) = 2x-3 look like?

A: The graph of the inverse function f-1(x) for f(x) = 2x-3 will be a reflection of the graph of f(x) = 2x-3 over the line y = x.

Q: Is f(x)=2x^3 an exponential function?

A: No, f(x)=2x^3 is not an exponential function. An exponential function has the form f(x) = a^x, where a is a constant and x is the variable.

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Inverse functions

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Algebra 1

Study note


<p>The table below shows the values of f(x) when f(x) = 2x-3:</p>
<p>| x   | f(x) |<br />
| --- | ---- |<br />
| 1   | -1   |<br />
| 5   |

<p>The table below shows the values of f(x) when f(x) = 2x-3:</p>
<p>| x   | f(x) |<br />
| --- | ---- |<br />
| 1   | -1   |<br />
| 5   |

<p>The table below shows the values of f(x) when f(x) = 2x-3:</p>
<p>| x   | f(x) |<br />
| --- | ---- |<br />
| 1   | -1   |<br />
| 5   |

<p>The table below shows the values of f(x) when f(x) = 2x-3:</p>
<p>| x   | f(x) |<br />
| --- | ---- |<br />
| 1   | -1   |<br />
| 5   |

Notes include: - tables - graphs - illustrations - step-by-step guide - worked examples

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The table below shows the values of f(x) when f(x) = 2x-3:

| x | f(x) |
| --- | ---- |
| 1 | -1 |
| 5 | 7 |

Now let's find the domain and range for the function f(x) = 2x-3.

The function f(x) = 2x-3 is defined for all real numbers, so its domain is (-∞, +∞). The range of the function is also all real numbers, so its range is (-∞, +∞).

The graph of the function f(x) = 2x-3 is a straight line with a slope of 2 and a y-intercept of -3.

Yes, the function f(x) = 2x-3 is continuous for all real numbers.

The graph of the inverse function f-1(x) for f(x) = 2x-3 will be a reflection of the graph of f(x) = 2x-3 over the line y = x.

No, f(x)=2x^3 is not an exponential function. An exponential function has the form f(x) = a^x, where a is a constant and x is the variable.

Summary - Algebra 1

  • f(x)=2x-3 is a linear function
  • Domain of f(x)=2x-3 is all real numbers
  • Range of f(x)=2x-3 is also all real numbers
  • f(x)=2x-3 is continuous for all real numbers
  • f(x)=2x^3 is not an exponential function

128 Followers

Frequently asked questions on the topic of Algebra 1

Q: What is the domain of the function f(x) = 2x-3?

A: The function f(x) = 2x-3 is defined for all real numbers, so its domain is (-∞, +∞).

Q: What is the range of the function f(x) = 2x-3?

A: The range of the function f(x) = 2x-3 is also all real numbers, so its range is (-∞, +∞).

Q: Is f(x)=2x-3 continuous or not?

A: Yes, the function f(x) = 2x-3 is continuous for all real numbers.

Q: What does the graph of the inverse function f-1(x) for f(x) = 2x-3 look like?

A: The graph of the inverse function f-1(x) for f(x) = 2x-3 will be a reflection of the graph of f(x) = 2x-3 over the line y = x.

Q: Is f(x)=2x^3 an exponential function?

A: No, f(x)=2x^3 is not an exponential function. An exponential function has the form f(x) = a^x, where a is a constant and x is the variable.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying