Unit 1 - Functions and Their Inverses

Use the horizontal-line test to determine whether the inverse of the relation is a function.

• The inverse is a function because some horizontal lines pass through more than one point on the graph.

• The inverse is not a function because no horizontal line passes through more than one point on the graph.

• The inverse is not a function because some horizontal lines pass through more than one point on the graph.

• The inverse is a function because no horizontal line passes through more than one point on the graph.

Which is an equation for the inverse of the relation y = 2x - 7?

• y = (x + 7)/2

• y = 2x + 7

• y = (2x - 7)/2

• y = (x - 7)/2

Tags

CCSS.HSF-BF.B.4A

Indicate whether the function is one-to-one.

• No

• Yes

Indicate whether the function is one-to-one.

• No

• Yes

Are these inverse functions?

• Yes

• No

Tags

CCSS.HSF-BF.B.4B

Find the inverse of the function and state its domain and range.

{(1, 4), (5, 7), (9, 12), (14, 18)}

• {(4, 1), (5, 7), (9, 12), (18, 14)}; D = {4, 5, 9, 18}; R = {1, 7, 12, 14}

• {(1, 7), (5, 4), (9, 18), (14, 12)}; D = {1, 5, 9, 14}; R = {7, 4, 18, 12}

• {(7, 1), (4, 5), (18, 9), (12, 14)}; D = {7, 4, 18, 12}; R = {1, 5, 9, 14}

• {(4, 1), (7, 5), (12, 9), (18, 14)}; D = {4, 7, 12, 18}; R = {1, 5, 9, 14}

Tags

CCSS.HSF-BF.B.4C

Find the inverse of the function and state its domain and range.

{(1, 5), (3, 9), (6, 12), (8, 14)}

• {(9, 1), (5, 3), (14, 6), (12, 8)}; D = {9, 5, 14, 12}; R = {1, 3, 6, 8}

• {(1, 9), (3, 5), (6, 14), (8, 12)}; D = {1, 3, 6, 8}; R = {9, 5, 14, 12}

• {(5, 1), (9, 3), (12, 6), (14, 8)}; D = {5, 9, 12, 14}; R = {1, 3, 6, 8}

• {(5, 1), (3, 9), (6, 12), (14, 8)}; D = {5, 3, 6, 14}; R = {1, 9, 12, 8}

Tags

CCSS.HSF-BF.B.4C

Find the inverse of the function and state its domain and range.

{(2, 6), (4, 8), (7, 11), (10, 15)}

• {(6, 2), (8, 4), (11, 7), (15, 10)}; D = {6, 8, 11, 15}; R = {2, 4, 7, 10}

• {(2, 8), (4, 6), (7, 15), (10, 11)}; D = {2, 4, 7, 10}; R = {8, 6, 15, 11}

• {(8, 2), (6, 4), (15, 7), (11, 10)}; D = {8, 6, 15, 11}; R = {2, 4, 7, 10}

• {(6, 2), (4, 8), (7, 11), (15, 10)}; D = {6, 4, 7, 15}; R = {2, 8, 11, 10}

Tags

CCSS.HSF-BF.B.4C

• Yes

• No

Tags

CCSS.HSF-BF.B.4B

The function g is one-to-one. Find its inverse.
g(x) = 7x - 4

• g⁻¹(x) = (x - 4)/7

• g⁻¹(x) = (x + 4)/7

• g⁻¹(x) = x/7 + 4

• g⁻¹(x) = -(x - 4)/7

Tags

CCSS.HSF-BF.B.4A