Hi ( :can anyone help me solve this?
Use interval notation to state the range of the quadratic function.

f(x) = -2(x + 1)^2 - 3

Question

Hi ( :can anyone help me solve this?
Use interval notation to state the range of the quadratic function.

f(x) = -2(x + 1)^2 - 3

anonymous · Answer

lets take it step by step

anonymous · Answer

the smallest $(x+1)^2$ can be is 0, because if you square any non zero number it is positive

anonymous · Answer

therefore the LARGEST $-2(x+1)^2$ can be is zero, otherwise it is negative (less than zero)

anonymous · Answer

and finally that means the largest $$-2(x+1)^2-3$$ can be is $-3$

anonymous · Answer

that makes the range all numbers less than or equal to $-3$ which, in interval notation, is 
\[(-\infty, -3]\)

anonymous · Answer

$$(-\infty, -3]$$

anonymous · Answer

Thank you

anonymous · Answer

yw

anonymous · Answer

would please help me with another question?

anonymous · Answer

On which interval is f(x) = (x - 6)2 + 3 decreasing?