Answer:
The last option
Step-by-step explanation:
The range is defined as all the possible values of y.
For the first function:
2^x can give a value less than 2
For example:
2^-1 = 1/2 ..........> This choice is not correct
For the second choice:
2(5^x) can also give a value less than 2
For example:
2 * (5^-1) = 2/5 ...............> This choice is wrong
For the third choice:
5^(x+2) ca also give a value less than 2
For example:
5(-3+2) = 5^-1 = 1/5 ..........> This choice is wrong
For the last option:
5^x + 2
This one will always give a value greater than 2 no matter what the value of exponent is. .......> This is the correct choice
Hope this helps :)