Question

Can anyone help me with these two true/false questions? :)

9. Determine whether the statement is always, sometimes, or never true.

A cubic function has an inverse.

a. always true
b. sometimes true
c. never true

10. Determine whether the statement is always, sometimes, or never true.

A linear function has an inverse relation.

a. always true
b. sometimes true
c. never true

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Thanks!,

Answer 1

9. b. sometimes true

10. a. always true

Step-by-step explanation:

9. Any function will have an inverse relation. This question is not specific as to whether that inverse relation must be a function. We will assume that that is the intent.

The attached graph shows a cubic function with an inverse function (green), and another without (red).

A cubic function will have an inverse function sometimes.

____

10. As stated above, any function will have an inverse relation.

A linear function will have an inverse relation always.

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The graph shows a linear function with an inverse function (green), and one that has an inverse relation, but not an inverse function (red).