Let’s find the domain of the function:
In our function, the variable x is an exponent. In this case, x can be anything, that is, be both negative and positive, and take the value 0. Therefore, x can take values from minus infinity to plus infinity.
Find the range of values of the function:
The minimum value that the first term of the expression can take tends to 0 (the case when x tends to minus infinity).
Substitute 0 for the first term:
y = 0 – 6 + 4;
y = -2.
A value of -2 is not reached because a value of 0 is not reached on the first term. With an increase in the value of x, the right side of the function will always increase, therefore, y> -2.
Answer: y> -2; x can take values from minus infinity to plus infinity.
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