Question

Which of the following graphs represents a function with a domain of (-∞, ∞) and a range of (-∞, ∞)?

Answer 1

the negative infinity for the x coordinate states that the graph should move to the bottom and the y coordinate is positive infinity so that the graph goes up

the first graph is your answer

Answer 2

option A

Explanation:

Domain is the set of all x values and range the set of all y values where the function is defined.

In the first option we have graph on both sides of x. we have graph y for all x values . So, domain is (-∞, ∞)

There is no restriction for y. the graph is for all y values

So range is (-∞, ∞)

In the second option, the graph is above y axis so range is [0,∞)

In the third option, we have graph only for positive value of x

so domain is [0,, ∞)

In the fourth option , the graph is above y axis so range is [0,∞)