Symmetry

Question 1

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

He is correct only if there is no constant term. Raising -x to an odd power gives -x, so the signs change on the variable terms but not on a constant term.

Question 2

Compare your response to the sample response above. Did your explanation

Revolt · Accepted Answer

state that the function will be odd only if there is no constant term?; state that raising -x to an odd power results in -x?; state that the terms with variables will be opposites but the constant won’t?

Question 3

✔ line symmetry onlyrotational symmetry onlyno symmetryboth line and rotational symmetry

Revolt · Accepted Answer

line symmetry only

Question 4

This graph shows a portion of an even function. Use the graph to complete the table of values. x f(x) −1 ⇒ 1 −3 ⇒ 1 −5 ⇒ 3 −6 ⇒ 3

Revolt · Accepted Answer

⇒ 1: 3

Question 5

This graph shows a portion of an odd function. Use the graph to complete the table of values. x f(x) −2 −3 −4 −6

Revolt · Accepted Answer

Part 1: -2; Part 2: -1; Part 3: -2; Part 4: -3

Question 6

✔ evenoddneither

Revolt · Accepted Answer

even

Question 7

(f • g)(x) =even✔ oddneither

Revolt · Accepted Answer

odd

Question 8

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

Revolt · Accepted Answer

constant

Question 9

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

Revolt · Accepted Answer

rotational symmetry only

Question 10

g(x) = |x-3| evenodd✔ neither

Revolt · Accepted Answer

neither

Symmetry Answers

More from this Course

TRY EDGENUITY HACKS