Respuesta :
y=x^2 won't have any negative y-values as the graph opens upward. Therefore, the range is: ALL REAL NUMBERS GREATER THAN OR EQUAL TO 0. or simply: 0 to +INFINITY.
Answer:
range is y≥0
C is correct option.
Step-by-step explanation:
The given equation is [tex]y=x^2[/tex]
Range is the set of y values for which the function is defined.
Hence, we solve the equation for x and then check for which y values the function is defined.
take square root both sides
[tex]\pm\sqrt{y}=\sqrt{x^2}\\\\x=\pm\sqrt{y}[/tex]
Now, square root function is defined for positive values only.
Hence, for the above function to be defined, y≥0
Hence, range is y≥0
C is correct option.