Read the Horizontal Line Test in the textbook Links to an external site. .  Which of the following statements are equivalent to (i.e. say the same thing as) the Horizontal Line Test?   Select all that apply.多项选择题

A

A function 𝑓   is one-to-one if and only if there is no horizontal line that intersects the graph of 𝑓 exactly once.

B

A function 𝑓   is one-to-one if and only if there is no horizontal line that intersects the graph of 𝑓 more than once.

C

A function 𝑓   is one-to-one if and only if there is no horizontal line that intersects the graph of 𝑓 twice or more.

D

A function 𝑓   is one-to-one if and only if every horizontal line intersects the graph of 𝑓 either once or not at all.

E

A function 𝑓   is one-to-one if and only if every horizontal line intersects the graph of 𝑓 at least once.

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类似问题

Please select whether the following functions are one-to-one (meaning their inverse is also a function).     1. 𝑓 ( 𝑥 ) = 𝑥 2 + 4 𝑥 − 5     [ Select ] not one-to-one one-to-one   2. 𝑔 ( 𝑥 ) = | 4 𝑥 − 3 |             [ Select ] not one-to-one one-to-one   3. 𝑚 ( 𝑥 ) = 3 𝑥                   [ Select ] not one-to-one one-to-one

For each of the following functions, use the Horizontal Line Test to determine whether it is one-to-one.      a) The function in graph A is [ Select ] one-to-one NOT one-to-one    b) The function in graph B is [ Select ] NOT one-to-one one-to-one   c) The function in graph C is [ Select ] one-to-one NOT one-to-one      d) The function in graph D is [ Select ] one-to-one NOT one-to-one     e) The function in graph E is [ Select ] one-to-one NOT one-to-one

Which of the following is NOT a one-to-one function?

Which one of the following is not a one-to-one function?

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