Introduction to Functions Practice Test

Review the following concepts if needed:

• Introduction to Functions Help
• Domain and Range Help

Introduction to Functions Practice Test

Problems

1. Evaluate f ( x ) = 4 − 2 x ² at x = 3.

   (a) −14

   (b) −12

   (c) −10

   (d) −8

2. Evaluate f (−1) for

   

   (a) −1

   (b) 5

   (c) 2

   (d) 2,5

3. Evaluate f ( u ² + v ) for f ( x ) = 4 x + 6.

   (a) ( u ² + v )(4 x + 6)

   (b) 4 u ² + v + 6

   (c) 4 v ² x + 6

   (d) 4 u ² + 4 v + 6

4. What is the domain for

   (a) (−∞,∞)

   (b) (−∞, −1] ∪ [1, ∞)

   (c) (−∞, −1) ∪ (1, ∞)

   (d) [−1,1]

5. Evaluate for f(x) = x ² + 3.

   (a) 2 a + h ²

   (b) 2 a + h ² + 3

   (c) 2 a + h

   (d) 2 a + h + 3

6. What is the domain for

   (a) (−∞, 5) ∪ (5, ∞)

   (b) [5, ∞)

   (c) (−∞, 5]

   (d) (−∞, −5) ∪ (5, ∞)

7. What is the domain for

   (a) (−∞, 9) ∪ (9, ∞)

   (b) (−∞, 3) ∪ (3, ∞)

   (c) [3, ∞)

   (d) (−∞, −3)∪(−3, 3) ∪ (3, ∞).

8. What is the domain for the function {( a , 6), ( b , 6), ( d , 9)}

   (a) { a, b, d }

   (b) {6, 9}

   (c) { a, b, d , 6, 9}

   (d) { a, b, d , 9}

9. What is the domain for

   

   (a) [4, 5) ∪ (5, ∞)

   (b) (−∞, 4) ∪ (4, ∞)

   (c) [4, ∞)

   (d) (4, ∞)

10. What is the domain for

    

    (a) [4, 5) ∪ (5, ∞)

    (b) (−∞, 4) ∪ (4, ∞)

    (c) [4, ∞)

    (d) (4, ∞)

Solutions

1. A
2. B
3. D
4. A
5. C 
6. B
7. D
8. A
9. D
10. A