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(a) What is a one-to-one function?(b) How can you tell from the graph of a function whether it is one-to-one?

(a) A function that never takes on the same value twice. This is, $f\left(x_{1}\right) \neq f\left(x_{2}\right)$ whenever $, x_{1} \neq x_{2}$(b) A function is 1-to-1 if and only if no horizontal line intersects its graph more than once.By using the horizontal line test. Any horizontal line in the graph of $f$ must cross the curve just in one point.

Calculus 1 / AB

Chapter 1

Functions and Sequences

Section 5

Logarithms; Semilog and Log-Log Plots

Functions

Oregon State University

Harvey Mudd College

Idaho State University

Boston College

Lectures

03:09

In mathematics, precalculu…

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In mathematics, a function…

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When you have the graph of…

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Determine whether the grap…

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If you are given the graph…

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Okay. This question asked us to explain party what is 1 to 11 to ones of function. The only has one value when does not take on the same value twice. Then they ask us, How can you tell from the graph of function If it is one toe one we know it's 1 20 is no horizontal line intersects the graph more than once. So, for example, look at this. There's only intersex at once. However, this horizontal line intersex it twice. This is the difference function versus not a function or 1 to 1 verse is not.

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