What is the domain and range of y=4(0.5)^x
The domain of the function is all real numbers, as any value of x can be plugged into the function.
To find the range, we should observe that as x increases, the value of y approaches 0. Therefore, the smallest possible value of y is 0. Furthermore, as x approaches negative infinity, the value of y approaches infinity. Therefore, the range of the function is (0, infinity).
To find the domain and range of the function y = 4(0.5)^x, let's start with the domain.
Domain refers to all the possible values that the input variable (x) can take. In this case, since the base of the exponent is 0.5, x can be any real number. Therefore, the domain is all real numbers.
Moving on to the range:
The range refers to all the possible values that the output variable (y) can take. Since the base (0.5) raised to any power will always be positive (since it is less than 1), the function will only produce positive values. In other words, y will always be greater than 0. However, as x approaches negative infinity, the value of y will get arbitrarily close to 0, but never actually reach it. So, the range in this case is (0, ∞), which represents all positive real numbers.