Problem 1 :
Check whether the relation is function or not
{(6, 2), (-1, 2), (-3, 2), (-5, 2)}
Find i) Domain and ii) Range
Solution :
Create a mapping for the given relation.
Every input is having output, no inputs is having more than one output. So, it is a function.
Domain = {-5, -3, -1, 6}
Range = {2}
Problem 2 :
Check whether the relation is function or not
Find i) Domain and ii) Range
Solution :
Every input is having output, no inputs is having more than one output. So, it is a function.
Domain = {-5, 5, 10, 15}
Range = {6, 16, 26, 36}
Problem 3 :
Check whether the relation is function or not
x 3 5 7 |
y 1 15 30 |
Find i) Domain and ii) Range
Solution :
Every input is having output, no inputs is having more than one output. So, it is a function.
Domain = {3, 5, 7}
Range = {1, 15, 30}
Problem 4 :
Check whether the relation is function or not
Solution :
By observing the figure given above, it is not a function because the input -1 is associated with two outputs -2 and -3. So, it is not a function.
State the domain and range of each relation. Then determine whether each relation is a function
Problem 5 :
Solution :
No input is having more than one output. So, it is a function.
Problem 6 :
Solution :
3 is the element is having more than one output. So, it is not a function.
Problem 7 :
Solution :
Every input is having one output, so it is a function.
Problem 8 :
Solution :
From the graph, if we want to check whether it is a function, we have to draw the vertical line test.
If the vertical line intersects the graph at most one point, we can say it is a function.
The vertical line drawn for the above curve will intersect the graph at 2 points. It is not a function.
Problem 9 :
State the domain and range of each relation. Then determine whether each relation is a function
Solution :
Domain = {2, 8}
Range = {21, 25, 30}
2 is the input having two outputs. So, it is not a function.
Problem 10 :
Graph each relation or equation and determine the domain and range.
x = -1
Solution :
Graph of x = -1 will be a vertical line.
for one input -1, we have different outputs. So, it is not a function.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM