Can someone show me how to solve this

If the domain is , it means that you can only accept inputs between -10 and 20.

In other words, you can write f(x) only is x is between -10 and 20.

This rules out the option , because you can't accept -15 as input, because it's less than -10.

Similarly, if the range is , it means that the function can only output numbers between -40 and -10.

In other words, you can write f(x)=k only is k is between -40 and -10.

This rules out the first two options, because their output is positive, and also f(0)=0

check the picture below.

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.