10.1 Relations and Functions HW

1. Find the domain, range, and inverse of the following relation: {(3,-2), (1,0), (-2, 4), (3,1), (4, -2)}. Domain: ________ Range: ________ Inverse: ________

• Domain: {3, 1, -2, 4}, Range: {-2, 0, 4, 1}, Inverse: {(-2, 3), (0, 1), (4, -2), (1, 3), (-2, 4)}

• Domain: {3, 1, -2, 4}, Range: {-2, 0, 4, 1}, Inverse: {(-2, 3), (0, 1), (4, -2), (3, 1), (-2, 4)}

• Domain: {3, 1, -2, 4}, Range: {-2, 0, 4, 1}, Inverse: {(-2, 3), (0, 1), (4, -2), (1, 3), (4, -2)}

• Domain: {3, 1, -2, 4}, Range: {-2, 0, 1}, Inverse: {(-2, 3), (0, 1), (4, -2), (3, 1), (4, -2)}

What is the domain of the inverse of this relation: {(4, 2), (1,1), (0,0), (1,−1), (4,−2)}?

• {0,1,4}

• {−2,−1,0,1,2,4}

• {−2,−1,0,1,2}

• {0,1,1,4,4}

Determine whether each graph represents a function by using the vertical line test (write yes or no). If no, circle why it isn’t a function. Graph 3:

• Yes, it is a function

• No, it is not a function because it fails the vertical line test

Determine whether each graph represents a function by using the vertical line test (write yes or no). If no, circle why it isn’t a function. Graph 4:

• Yes, it is a function

• No, it is not a function because it fails the vertical line test

Determine whether each graph represents a function by using the vertical line test (write yes or no). If no, circle why it isn’t a function. Graph 5: ________

• Yes, it is a function

• No, it is not a function because it fails the vertical line test

Determine whether each graph represents a function by using the vertical line test (write yes or no). If no, circle why it isn’t a function. Graph 6:

• Yes, it is a function

• No, it is not a function because it fails the vertical line test

7. Why isn’t the relation to the function? (The vertical line test isn’t an acceptable reasoning; explain why it’s not a function).

• Because it has more than one output for a single input.

• Because it passes the vertical line test.

• Because it is a one-to-one function.

• Because it is a linear function.

Determine whether each set of ordered pairs is a function or not. 8. {(3, 7), (2, -7), (3, -1), (5, -1)}

• Yes, it is a function.

• No, it is not a function because the x-value 3 is repeated with different y-values.

Determine whether each set of ordered pairs is a function or not. 9. {(0, 4), (-3, 5), (7, 4), (0, 8), (2, 11)}

• Yes, it is a function

• No, it is not a function because the input 0 is associated with two different outputs

Determine whether each table represents a function.

• Yes, it represents a function.

• No, it does not represent a function.