Algebra 2 6-7 Independent Practice: Inverse Relations and Functions

10

What is the inverse of f ? Is the inverse a function?

A

B

C

D

F.BF.4.a

F.IF.1

10

What is the inverse of f ? Is the inverse a function?

A

B

C

D

F.BF.4.a

F.IF.1

10

What is the inverse of f ? Is the inverse a function?

A

B

C

D

F.BF.4.a

F.IF.1

10

A

B

C

D

F.BF.4.a

10

A

B

C

D

F.BF.4.a

10

For h, find the value for x for which the equality
(h ◦ h^-1)(x) = x does not hold.

A

B

C

D

F.BF.4.a

10

F.BF.4.a

F.IF.1

10

Reasoning: A function consists of the pairs (2, 3), (x, 4), and (5, 6). What values, if any, may x not assume?

For the relation to be a function, x may not assume 2 or 5.

x may assume any real number and the relation will still represent a function.

For the relation to be a function, x may not assume 2, 3, 4, 5, or 6.

For the relation to be a function, x may not assume 3, 4, or 5.

F.IF.1

10

Error Analysis: A classmate says the following.
Show that this is incorrect by finding examples of f(x) and g(x) for which the equation does not hold. Enter f(x) and g(x) in the response field. Show that they provide a counterexample on the canvas.

F.BF.4.a

10

Reflection: Math Success

F.BF.4.a

F.BF.4.c

F.IF.1

Algebra 2 6-7 Independent Practice: Inverse Relations and Functions

What is the inverse of f ? Is the inverse a function?

What is the inverse of f ? Is the inverse a function?

What is the inverse of f ? Is the inverse a function?

For h, find the value for x for which the equality (h ◦ h-1)(x) = x does not hold.

Reasoning: A function consists of the pairs (2, 3), (x, 4), and (5, 6). What values, if any, may x not assume?

Error Analysis: A classmate says the following.Show that this is incorrect by finding examples of f(x) and g(x) for which the equation does not hold. Enter f(x) and g(x) in the response field. Show that they provide a counterexample on the canvas.

Reflection: Math Success

What is the inverse of f ? Is the inverse a function?

What is the inverse of f ? Is the inverse a function?

What is the inverse of f ? Is the inverse a function?

For h, find the value for x for which the equality (h ◦ h-1)(x) = x does not hold.

Reasoning: A function consists of the pairs (2, 3), (x, 4), and (5, 6). What values, if any, may x not assume?

Error Analysis: A classmate says the following.Show that this is incorrect by finding examples of f(x) and g(x) for which the equation does not hold. Enter f(x) and g(x) in the response field. Show that they provide a counterexample on the canvas.

Reflection: Math Success

For h, find the value for x for which the equality
(h ◦ h^-1)(x) = x does not hold.

Error Analysis: A classmate says the following.
Show that this is incorrect by finding examples of f(x) and g(x) for which the equation does not hold. Enter f(x) and g(x) in the response field. Show that they provide a counterexample on the canvas.

For h, find the value for x for which the equality
(h ◦ h^-1)(x) = x does not hold.

Error Analysis: A classmate says the following.
Show that this is incorrect by finding examples of f(x) and g(x) for which the equation does not hold. Enter f(x) and g(x) in the response field. Show that they provide a counterexample on the canvas.