Symmetry

Question 1

Identify the inverse g(x) of the given relation f(x).f(x) = {(8, 3), (4, 1), (0, –1), (–4, –3)}

Revolt · Accepted Answer

g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}

Question 2

Choose a true statement.

Revolt · Accepted Answer

g(x) is a function because f(x) is one-to-one.

Question 3

a = ⇒ -3.8 b = ⇒ -2.6 c = ⇒ 1.7 d = ⇒ 4.4 e = ⇒ 1

Revolt · Accepted Answer

⇒ -3.8: -3.8; ⇒ -2.6: -2.6; ⇒ 1.7: 1.7; ⇒ 4.4: 4.4; ⇒ 1: 1

Question 4

If the graph of an inverse passes the , you know that the inverse is a function.

Revolt · Accepted Answer

vertical-line test

Question 5

What is the value of the inverseshown below?S –1 (0) =

Revolt · Accepted Answer

Friday

Question 6

The graph of an inverse is the reflection of the graph of the function over the line .

Revolt · Accepted Answer

y = x

Question 7

Compare your response to the sample response above. What did you include in your explanation?

Revolt · Accepted Answer

that Danika needs to find g compose f; that g(f(x)) must also equal x; that g(f(x)) = –x

Question 8

The composition of a function and its inverse is always .

Revolt · Accepted Answer

x

Question 9

The range values of an inverse are the values of the original function.

Revolt · Accepted Answer

domain

Symmetry Answers