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Mathematics 17 Online
OpenStudy (anonymous):

kkkkk

OpenStudy (anonymous):

can you give me the derivative of f ??

OpenStudy (anonymous):

that's all it says :// :(

OpenStudy (anonymous):

yes... but you need to calculate the derivative of f to find the relative max/min of the function.

OpenStudy (anonymous):

isn't this for a calculus class?

OpenStudy (anonymous):

algebra 2

OpenStudy (anonymous):

oh... sorry....

OpenStudy (anonymous):

its okay :) so you don't know how to do it? :(

OpenStudy (anonymous):

i know how to do it on a calculater ..but i left it at a friends house ://

OpenStudy (anonymous):

oh... so you're allowed to use the max/min functions of a graphing calculator?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

ok... hang on...

OpenStudy (anonymous):

okaay :)

OpenStudy (anonymous):

since you don't have your graphing calculator with you, use this online one.... https://www.desmos.com/calculator i've also included the graph of your function here:

OpenStudy (anonymous):

it looks like you have a relative max at x=-4 and a relative min at x=0

OpenStudy (anonymous):

yeah, but that's not one of my options :(

OpenStudy (anonymous):

the function you gave at the start does not coincide with those choices...

OpenStudy (anonymous):

thats what it says in my homework

OpenStudy (anonymous):

i double checked with this function you gave at the start: \(\large f(x)=x^3+6x^2-36 \) f has a relative max at x=-4 and a relative min at x=0.

OpenStudy (anonymous):

f(-4) = -4 so (-4, -4) is a relmax f(0) = -36 so (0, -36) is a relmin

OpenStudy (anonymous):

but that's none of the options ://

OpenStudy (anonymous):

i'm sorry.... i'm absolutely sure of my answer here.. even the calculator verifies my answer.... is this the function we started with correct?

OpenStudy (anonymous):

yes it is ..hmm :// :(

OpenStudy (anonymous):

im just going to pick a or b:///.. lol ..thank you for the help though :)

OpenStudy (anonymous):

idk what to say... :(

OpenStudy (anonymous):

do you think you could help me with another one?

OpenStudy (anonymous):

there has to be an error in those choices... yw... :)

OpenStudy (anonymous):

yes...

OpenStudy (anonymous):

What is a cubic polynomial function in standard form with zeros 1, –2, and 2?

OpenStudy (anonymous):

do you know how to multiply out binomials?

OpenStudy (anonymous):

i know i have to write like (x+1)(x-2)(x+2)

OpenStudy (anonymous):

standard form for a cubic polynomial is: \(\large y=ax^3+bx^2+cx+d \) where a, b, c, d are real numbers.

OpenStudy (anonymous):

not quite... since the zeros are 1, -2, and 2, then the factors are (x-1)(x+2)(x-2)

OpenStudy (anonymous):

so all you do is multiply out the 3 binomials....

OpenStudy (anonymous):

how is it -1 when it says 1 ?

OpenStudy (anonymous):

a zero refers to where the graph crosses the x-axis (when y=0) so the equation is 0 = (x-1)(x+2)(x-2) if x=1, you'll have 0 = (1-1)(1+2)(1-2) which is a true statement but if you have what you wrote down, 0 = (1+1)(1+2)(1-2) is not a true statement

OpenStudy (anonymous):

multiply out the binomials: (x-1)(x+2)(x-2) = \(\large x^3-x^2-4x+4 \)

OpenStudy (anonymous):

thanks :)

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