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Mathematics 8 Online
OpenStudy (anonymous):

which function has the smallest minimum?

OpenStudy (anonymous):

@vishweshshrimali5

OpenStudy (vishweshshrimali5):

Your answer ?

OpenStudy (anonymous):

IM thinking G(x)

OpenStudy (vishweshshrimali5):

No. f(x) is the right answer. Can you tell me the minimum value of each function ?

OpenStudy (anonymous):

Minimum for g(x) is -2 , h(x) is -2, and im not sure about f(x)

OpenStudy (vishweshshrimali5):

First of all, the minimum value of g(x) is right. Next, for h(x), the value of a function is usually denoted by y. So, what's the minimum value of h(x) ?

OpenStudy (anonymous):

3

OpenStudy (vishweshshrimali5):

Good

OpenStudy (vishweshshrimali5):

Now, for f(x) its a little bit tricky part. See, the higher the value of sin(2x - pi), the value of f(x) will become lesser. Do you get this ?

OpenStudy (vishweshshrimali5):

Its because we are multiplying sin(2x- pi) by a negative number.

OpenStudy (anonymous):

Yes

OpenStudy (vishweshshrimali5):

Good now what's the maximum value of any sine function ?

OpenStudy (vishweshshrimali5):

I mean to say what's the maximum value of sin(2x-pi) ?

OpenStudy (anonymous):

Ummm is it -1 to 1 ?

OpenStudy (anonymous):

thats what sins can be

OpenStudy (vishweshshrimali5):

Yes

OpenStudy (vishweshshrimali5):

So, maximum value of sin(2x-pi) would be 1.

OpenStudy (anonymous):

Ohhhh

OpenStudy (vishweshshrimali5):

Thus, minimum value of f(x) = -5 * 1 + 2 = -3

OpenStudy (anonymous):

I see

OpenStudy (anonymous):

So thats why it was f(x)

OpenStudy (vishweshshrimali5):

Yeah

OpenStudy (anonymous):

Thank you! Thats all that I have for now I really appreciate it

OpenStudy (vishweshshrimali5):

No problem and best of luck

OpenStudy (vishweshshrimali5):

Good day

OpenStudy (anonymous):

You too

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