# help with p2 functions?

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I've got a question asking to find the range of f for the function below

f: x |-> x^2 -2x + 3 , x e R, 0 <= x <= 4

I sub in x for 4 and get 11, but don't know where to go from there.

f: x |-> x^2 -2x + 3 , x e R, 0 <= x <= 4

I sub in x for 4 and get 11, but don't know where to go from there.

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#2

(Original post by

I've got a question asking to find the range of f for the function below

f: x |-> x^2 -2x + 3 , x e R, 0 <= x <= 4

I sub in x for 4 and get 11, but don't know where to go from there.

**MJ_23**)I've got a question asking to find the range of f for the function below

f: x |-> x^2 -2x + 3 , x e R, 0 <= x <= 4

I sub in x for 4 and get 11, but don't know where to go from there.

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#3

**MJ_23**)

I've got a question asking to find the range of f for the function below

f: x |-> x^2 -2x + 3 , x e R, 0 <= x <= 4

I sub in x for 4 and get 11, but don't know where to go from there.

(x-1)^2

__>__0 for all x so f(x)

__>__2

min pt is (1,2) so range is f(x)

__>__2

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#4

**MJ_23**)

I've got a question asking to find the range of f for the function below

f: x |-> x^2 -2x + 3 , x e R, 0 <= x <= 4

I sub in x for 4 and get 11, but don't know where to go from there.

so the minimum point is when x=1,and f(x)=2.

Or u can find f': f'(x)=2x-2.At minimum f'(x)=0 therefore x=1 so f(x)=2.

Since f(x) must lie above or on this minimum point the range is f(x)≥2

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#5

max value for f is when x = 4

f(x=4) = 4² - 2.4 + 3

f_max = 11

therefore range of f is

2 <= f <= 11

=========

f(x=4) = 4² - 2.4 + 3

f_max = 11

therefore range of f is

2 <= f <= 11

=========

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#6

(Original post by

max value for f is when x = 4

f(x=4) = 4² - 2.4 + 3

f_max = 11

therefore range of f is

2 <= f <= 11

=========

**Fermat**)max value for f is when x = 4

f(x=4) = 4² - 2.4 + 3

f_max = 11

therefore range of f is

2 <= f <= 11

=========

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#7

(Original post by

are u sure?:

**IntegralAnomaly**)are u sure?:

the range, or domain, of x is given as

0 <= x <= 4

That means that x cannot take a value less than 0 or greater than 4, so must be constrained to lie within the lines x=0 and x=4.

The minimum of the curve gives the lower end of the range of f, i.e. f=2.

Since the value of x cannot exceed 4 then max f is given by f(x=4) = 11.

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#8

(Original post by

Yep.

the range, or domain, of x is given as

0 <= x <= 4

That means that x cannot take a value less than 0 or greater than 4, so must be constrained to lie within the lines x=0 and x=4.

The minimum of the curve gives the lower end of the range of f, i.e. f=2.

Since the value of x cannot exceed 4 then max f is given by f(x=4) = 11.

**Fermat**)Yep.

the range, or domain, of x is given as

0 <= x <= 4

That means that x cannot take a value less than 0 or greater than 4, so must be constrained to lie within the lines x=0 and x=4.

The minimum of the curve gives the lower end of the range of f, i.e. f=2.

Since the value of x cannot exceed 4 then max f is given by f(x=4) = 11.

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#10

(Original post by

no prob

**Fermat**)no prob

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#12

(Original post by

What's latex?

**Bhaal85**)What's latex?

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#13

(Original post by

have u heard of mathtype?this is ten times better:http://www.latex-project.org/.

**IntegralAnomaly**)have u heard of mathtype?this is ten times better:http://www.latex-project.org/.

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#14

(Original post by

sorry fermat but you posted 2 sites about latex a while ago,what was the other one?(not the one u pm me).

**IntegralAnomaly**)sorry fermat but you posted 2 sites about latex a while ago,what was the other one?(not the one u pm me).

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#15

(Original post by

When i first read this post, i thought you were talking about latex material (as in gloves) and i thought that was VERY random!!! Now i just feel stupid

**Silly Sally**)When i first read this post, i thought you were talking about latex material (as in gloves) and i thought that was VERY random!!! Now i just feel stupid

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#16

(Original post by

Confused by it all, which is the one I need to be able to use mathematical signs, I'm on WinXP, which do I download?

**Bhaal85**)Confused by it all, which is the one I need to be able to use mathematical signs, I'm on WinXP, which do I download?

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#17

**IntegralAnomaly**)

sorry fermat but you posted 2 sites about latex a while ago,what was the other one?(not the one u pm me).

Beginning Latex

Getting Started with LaTeX

LaTeX Tutorial

The last one is mainly for instructing unix users in setting up and runnnng latex on a Unix system but has somwe useful latex info as well.

enjoy!

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#18

**Bhaal85**)

Confused by it all, which is the one I need to be able to use mathematical signs, I'm on WinXP, which do I download?

Like mikesgt2, I use an editor called TeXnicCenter, which makes editing and compiling documents easier, you can find it here: http://www.texniccenter.org (look for the Download link in the panel on the left)

When you install this, you will be asked for a file viewer (for the dvi files), click on the Browse button, and navigate to C:\texmf\miktex\bin and select yap.exe.

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