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What is the domain of the function below?

((0,2),(3,1) (5,2) (8,4))

a. (1,2,4)
b. (0,3,5,8)**
c. (0,1,2,3,4,5,8)
d. ((0,2),(3,1) (5,2) (8,4))

Is the following relation a function?

((0.3,0.6), (0.4,0.8), (0.3,0.7), (0.5,0.5))

a. yes
b. no**
c. cannot be determined

What is the value of the range of the function f(x) = x^2 + 2 for the domain value 1/4?

a. y = 2
b. y = 2 1/4
c. y = 2 1/8
d. y = 2 1/16**

1. B

2. B
3. A
4. C
5. D

B

B
A
C
D

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Did you know?

Did you know that the domain of a function represents the set of all possible input values for that function? In the given function ((0,2),(3,1) (5,2) (8,4)), the domain consists of the x-values in the ordered pairs, which are 0, 3, 5, and 8. Therefore, the correct answer is option b. (0,3,5,8). Did you know that a relation is considered a function if each input value corresponds to only one output value? In the relation ((0.3,0.6), (0.4,0.8), (0.3,0.7), (0.5,0.5)), the input value 0.3 corresponds to two different output values, 0.6 and 0.7. This violates the definition of a function, so the correct answer is option b. no. Did you know that the range of a function represents the set of all possible output values for that function? For the function f(x) = x^2 + 2, when the domain value is 1/4, substituting it into the function gives f(1/4) = (1/4)^2 + 2 = 1/16 + 32/16 = 33/16. Therefore, the range value is y = 2 1/16, which is option d. y = 2 1/16.