Find Domain and range of the function
f (x)=2x+7, -1 <= ×<= 6
(<=) is less than or equal to, sorry
clearly the domain is [-1,6]
Since it's just a straight line segment, figure f(x) at the ends, and the range is the interval between them.
So it just depends on the type of function it is and the intervals given
To find the domain and range of the function f(x)=2x+7 for the given condition -1 <= x <= 6, let's start with the domain.
Domain:
The domain of a function refers to all possible values of x for which the function is defined. In this case, we are given that -1 <= x <= 6. It means that the function is defined and can be evaluated for any value of x within the given range.
Therefore, the domain of the function f(x)=2x+7, with the condition -1 <= x <= 6, is -1 <= x <= 6.
Range:
The range of a function refers to all possible output values (or y-values) that the function can take. In the case of f(x)=2x+7, there is no restriction on the y-values since x can take any value within the given range.
So, the range of the function f(x)=2x+7, with the condition -1 <= x <= 6, is -∞ < y < ∞, which means that the range is all Real numbers.