# DISCRETE AND CONTINUOUS FUNCTIONS WORKSHEET

Tell whether the relation is a function.

Identify the following,

i)  Domain

ii) Range.

iii)  Identity if its discrete or continuous.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Problem 9 :

Solution

1)

Domain  = All real values of x.

Range = ≤ y < ∞

Type of function = It is continuous function

2)

Not a function

Domain  =  {1, 3 ,4, 5, 6}

Range = {1, 2, 4, 6}

3)

Domain = All real values of x.

Range = All real value of y.

Type of function = It is continuous function.

4)

Domain = ≤ x < ∞

Range = ≤ y < ∞

Type of function = It is continuous function.

5)

Domain = All real values of x.

Range = All real values of y.

Type of function = It is continuous function.

7)

Domain = {1, 2, 3, 4, 5, 6}

Range = {1, 2, 3, 4, 6}

Type of function = It is discrete function.

8)

Domain = All real values of x.

Range = -1/4 ≤ y ≤ 1/4

Type of function = It is continuous function.

9)

Domain = 0 ≤ x ≤

Range = All real value of y.

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