Symmetry

Question 1

✔ line symmetry onlyrotational symmetry onlyno symmetryboth line and rotational symmetry

Revolt · Accepted Answer

line symmetry only

Question 2

line symmetry only✔ rotational symmetry onlyno symmetryboth line and rotational symmetry

Revolt · Accepted Answer

rotational symmetry only

Question 3

even✔ oddneither

Revolt · Accepted Answer

✔ odd

Question 4

g(x) = x + x² evenodd✔ neither

Revolt · Accepted Answer

✔ neither

Question 5

This graph shows a portion of an even function. Use the graph to complete the table of values.

Revolt · Accepted Answer

1; 3

Question 6

This graph shows a portion of an odd function.

Revolt · Accepted Answer

-2; -1; -3

Question 7

✔ evenoddneither

Revolt · Accepted Answer

✔ even

Question 8

(f • g)(x) =evenoddneither

Revolt · Accepted Answer

odd

Question 9

The function is increasingdecreasing✔ constant for –9 < x < –7.

Revolt · Accepted Answer

✔ constant

Question 10

Dimetri says that a function that is made of terms where the variable is raised only to an odd power will be an odd function. Do you agree with Dimetri? Explain why or why not.

Revolt · Accepted Answer

Dimetri is correct only if there is no constant term. For every odd-power term, replacing x with −x makes the term its opposite because (−x) raised to an odd power equals −x raised to that power. A constant term does not change, so it prevents the function from being odd.

Symmetry Answers

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