Unit 1 REVIEW – Relations, Functions, & Transformations

For the given relation in problem 1 (see graph), determine whether the relation is a function, and state the domain and range.

• Function? No D: {-2, -2, 0,1, 3} R: {-3,1,3,4}

• Function? Yes D: {-3, -1, 1, 2} R: {2, 3, 4, 5}

• Function? No D: {-3, -1, 1, 2} R: {2, 3, 4}

• Function? Yes D: {-3, -1, 1, 2} R: {2, 3, 4}

For the given relation in problem 2 (see table), determine whether the relation is a function, and state the domain and range.

• Function? Yes D: {1, -3, 5, -1, 4} R: {6, 2, 0, -5, 2}

• Function? No D: {1, -3, -5, -1, 4} R: {6, 2, 0, -5, 2}

• Function? Yes D: {1, -3, -5, -1} R: {6, 2, 0, -5}

• Function? Yes D: {1, -3, -5, -1, 4} R: {6, 2, 0, -5, 4}

For the given relation in problem 3 (see mapping diagram), determine whether the relation is a function, and state the domain and range.

• Function? Yes D: {8, 9, 10, 13} R: {-1, -3, 5}

• Function? No D: {8, 9, 10, 13} R: {-1, -3, 5}

• Function? Yes D: {8, 9, 10} R: {-1, -3, 5}

• Function? Yes D: {8, 9, 10, 13} R: {-1, 0, 5}

Tags

CCSS.8.F.A.1

For the given relation in problem 4 (see graph), determine whether the relation is a function, and state the domain and range.

• Function? Yes D: {-4, -2, 0, 2, 4} R: {2, 4, 6}

• Function? No D: {-4, -2, 0, 2, 4} R: {2, 4, 6}

• Function? Yes D: {2, 4, 6} R: {-4, -2, 0, 2, 4}

• Function? No D: {2, 4, 6} R: {-4, -2, 0, 2, 4}

Tags

CCSS.8.F.A.1

For the given relation in problem 5 (see graph), determine whether the relation is a function, and state the domain and range.

• Function? Yes D: All real numbers R: [10, ∞)

• Function? No D: All real numbers R: [10, ∞)

• Function? Yes D: [0, ∞) R: All real numbers

• Function? No D: [10, ∞) R: All real numbers

For the given relation in problem 6 (see graph), determine whether the relation is a function, and state the domain and range.

• Function? No D: (-4,2) R: (-1,5)

• Function? No D: {-2, -1, 0, 1, 2} R: {-2, -1, 0, 2}

• Function? Yes D: {-2, -1, 0, 1, 2} R: {-2, -1, 0, 2}

For the given relation in problem 7 (see graph), determine whether the relation is a function, and state the domain and range.

• Function? Yes D: All real numbers R: [-3, ∞)

• Function? No D: All real numbers R: [0, ∞)

• Function? Yes D: [0, ∞) R: All real numbers

• Function? No D: [0, ∞) R: All real numbers

For the given relation in problem 8 (see graph), determine whether the relation is a function, and state the domain and range.

• Function? Yes D: [-3,2) R: [-5,5)

• Function? No D: [-3,2) R: All real numbers

• Function? Yes D: x > 0 R: y > 0

• Function? No D: x < 0 R: y < 0

For the given relation in problem 9 (see graph), determine whether the relation is a function, and state the domain and range.

• Function? No D: {-1, 0, 1}

  R: {-1, 0, 1}

• Function? Yes D: (-1,1)

  R: [-1,1)

• Function? No D: {-1, 0, 1}

  R: {-1, 0, 1}

• Function? Yes D: {-2, -1, 0, 1} R: {-2, -1, 0, 1, 2}

For the given relation in problem 10 (see graph), determine whether the relation is a function, and state the domain and range.

• Function? Yes D: (-2, 2) R: [-3, 2)

• Function? No D: (-2, 2) R: [-3, 0)

• Function? Yes D: (-2, 2) R: (0, 2)

• Function? No D: (−∞, ∞) R: (−∞, ∞)