Lesson 2.7: Symmetry Answers

✔ line symmetry onlyrotational symmetry onlyno symmetryboth line and rotational symmetry

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

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

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This graph shows a portion of an odd function.

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✔ evenoddneither

g(x) = |x-3| evenodd✔ neither

even✔ oddneither

g(x) = x + x² evenodd✔ neither

(f • g)(x) =even✔ oddneither

(g • g)(x) = ✔ evenoddneither

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

The function is increasing for –3 < x < 0✔ –7 < x < –3–9 < x < –7.

The point ✔ (–5, 8)(–5, –8)(5, –8) lies on the graph of the function.

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.