The square root function is only defined for non-negative values of x in the real number system. For any x<0, the square root would be imaginary (involving complex numbers).
The domain is determined by , so , giving ; the negative sign reflects the graph across the x-axis
The square root function outputs values in . Multiplying by flips and compresses the graph:
-As increases,
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.