Answer:
Explanation:
The range of a function refers to the set of all possible output values of that function. To find the range of function g, we need to determine the set of all possible values that g can take on.
One way to find the range is by examining the graph of the function, if it is provided. The range would then be the set of all y-values that correspond to points on the graph. For example, if the graph of g is a straight line that extends infinitely in both directions, the range would be all real numbers.
Another way to find the range is by analyzing the algebraic expression or equation that represents the function. By examining the equation, we can determine any restrictions or limitations on the output values.
For example, if the function g(x) = 2x + 3, we can see that for any input value of x, the output value will be a real number. Therefore, the range of g is all real numbers.
However, if the function has a restriction, such as g(x) = √x, where the square root cannot be taken of a negative number, the range would be limited to only non-negative real numbers (i.e., all values greater than or equal to zero).
In summary, to determine the range of a function g, we can analyze its graph or algebraic expression. The range represents the set of all possible output values of the function.