Linear function- A linear function is the function whose graph is the straight line. Thus the option 1 represents a linear function of x.
What is linear function?
A linear function is the function whose graph is the straight line.
Lets check all the options to find out which graph represents a linear function of x-
- Option 1- In this graph a curve line is plotted on x-y graph. This can not be linear since the deification of the linear function says "A linear function is the function whose graph is the straight line." Hence, option 1 does not represents a linear function of x.
- Option 2- In this graph a straight line is plotted on x-y graph. This line is linear line with negative slope. Hence, option 1 represents a linear function of x.
- Option 3- In this graph a curve line is plotted on x-y graph. This can not be linear since the deification of the linear function says "A linear function is the function whose graph is the straight line."Hence, option 1 does not represents a linear function of x.
- Option 4- In this graph a straight line is plotted on x-y graph. The graph of a linear function is a straight line but a vertical line is not the graph of a function. All function which are linear are characterized by their slope and y- intersect. Hence this vertical line in option 4 does not represents a linear function of x.
Hence, option 1 represents a linear function of x.
For more about the linear function, follow the link below-
https://brainly.com/question/14165558
