xD_aQt's Methods Thread

[xD_aQt]

This is a composite function:



where and

so

as min/max values for are

when these are subbed into

Could you explain it in a different way, I'm a bit unsure how you solved the problem

[the.watchman]

Have you read the edit yet???

[the.watchman]

I'm not sure if there is another way...

I'm just finding the range of and then using it to find the range of

[xD_aQt]

Have you read the edit yet???

Haha yeah

This is a composite function:



where and

as min/max values for are

when these are subbed into , you get and

so

as min/max values for are is this something we should know, lol ?
and so could the range be written as R⁺ or is that wrong?

[xD_aQt]

I typed e^-1 and e¹ into the calculator and I get values above 0 so would R⁺ be right?

[the.watchman]

I typed e^-1 and e¹ into the calculator and I get values above 0 so would R⁺ be right?

Nono, the approx range is

And in reference to , has min/max values of and .

I think my explaining is dud (soz!)

[xD_aQt]

I typed e^-1 and e¹ into the calculator and I get values above 0 so would R⁺ be right?

Nono, the approx range is

And in reference to , has min/max values of .

I think my explaining is dud (soz!)

Nah your right! Its just my understanding, haha I'm a bit slow but I come around eventually

[xD_aQt]

Is the answer 3? cause y=5 then the range is [3,7] .. just going by what you taught me today
The least value of f(x) = 5 - 2 cos (x) is

[the.watchman]

It's

General rule: For any ,

The min value of is and the max value is

It'll come in handy

[the.watchman]

Sorry I can't type fast, coz I'm eating wedges and I don't want to dirty my keyboard.
So I'm typing left-handed only...

[brightsky]

xD_aQt, means, ALL real numbers above 0.

[the.watchman]

xD_aQt, means, ALL real numbers above 0.

Ahhh, now that's a good explanation

[xD_aQt]

It's

General rule: For any ,

The min value of is and the max value is

It'll come in handy

does the general rule apply for both sin and cos?

[xD_aQt]

xD_aQt, means, ALL real numbers above 0.

Ahhh, now that's a good explanation

Haha right, gotcha! Cheers so basically [0,] ?

[the.watchman]

It's

General rule: For any ,

The min value of is and the max value is

It'll come in handy

does the general rule apply for both sin and cos?

Yup, but not tan