Thread: finding range of function

The function g is defined by ,



Find the range of g.

How do I find this? Is there a particular 'technique'?

Thanks,

Originally Posted by Tweety

The function g is defined by ,



Find the range of g.

How do I find this? Is there a particular 'technique'?

Thanks,

hi
since your function has no real roots,the parabola is strictly above the X-axis.

Originally Posted by Raoh

hi
since your function has no real roots,the parabola is strictly above the X-axis.

Thanks,

So the range is all the values greater than or equal to zero?

if you're able to find a global minimum for your function then i think you can find the range.

Originally Posted by Tweety

Thanks,

So the range is all the values greater than or equal to zero?

i think Strictly greater than zero.
if we solve f'(x)=0.we'll find x=4 as a solution and at this point there is a global minimum.
f(4)=1.
therefore,the range is,
i might be wrong though...

Originally Posted by Tweety

The function g is defined by ,



Find the range of g.

How do I find this? Is there a particular 'technique'?

Thanks,

Draw the graph. Hint: Complete the square first.