Domain: all real numbers
Range: all real numbers greater than or equal to -5
Yes, it represents a function.
The graph in the image shows a function, with a domain of all real numbers and a range of all real numbers greater than or equal to -5.
To determine the domain, we look at all the possible input values on the x-axis. The graph extends indefinitely to the left and right, so the domain is all real numbers.
To determine the range, we look at all the possible output values on the y-axis. The graph starts at -5 and extends upwards indefinitely, so the range is all real numbers greater than or equal to -5.
A function is a relation between two sets, where each input value corresponds to exactly one output value. The graph in the image satisfies this property, so it is a function.