.Domain and range Graph each function with a graphing utility using the given window: Then stale the domain and range of the function. f(x)= ; [?4, 4] × [?4, 4]
Step-by-step solution Step 1 of 1 Consider a given function and the given window is . When we want to plot a graph in the window [a,b] x [c,d], this means that the minimum value on the x axis is a and maximum is b and the minimum value on the y axis is c and maximum is d. Now, graph of the function are as follows, Because is defined for all value of x, and for all x or any even root has real values only when Hence Now multiply by -1 and get, On solving this inequality and Its domain is or . And the range of the function is . Let’s now look the graph. We see that x has the values from -2 to 2, which is in agreement with our previous analysis where the domain is determined . Also we see that g(x) has the values between 0 and 2 and this represents the range of g(x). So our theoretical analysis is in agreement with the analysis of the graph. Therefore we can say: The domain is or . The range is .