Consider the functions f(x)= x^3-3x+1 and g(x)= 2x+3
A) name all values of x such that f(x)=g(x)
B) Find all intercepts of x for f(x)
C) On the interval [-2, 2], find the min and max values of f.
anyone who helps me is great ty.

Question

Consider the functions f(x)= x^3-3x+1 and g(x)= 2x+3
A) name all values of x such that f(x)=g(x) 
B) Find all intercepts of x for f(x)
C) On the interval [-2, 2], find the min and max values of f.
anyone who helps me is great ty.

amistre64 · Answer

what part are you stuck on?

anonymous · Answer

@amistre64 parts b and c i was wondering if you could walk me through

amistre64 · Answer

and x intercept is when f(x)=0

anonymous · Answer

Yea i typed that in my calculator but it i couldn't find an answer and i dont know how to do part c at all @amistre64

amistre64 · Answer

you tried to use a calculator?  try factoring ...

part c may need calculus to use a derivative with

anonymous · Answer

Im new to calc so i havent a clue of how to attempt it

amistre64 · Answer

use the power rule, the constant rule ... and then equate the results to 0

anonymous · Answer

I can factor but i dont know what to do for the interval thing...

amistre64 · Answer

once you take the derivative, the result is a quadratic.  which was extensively covered in earlier algebra classes.

amistre64 · Answer

the idea is to find critical points, which lay within the interval to test ... and also check the end points of the interval

anonymous · Answer

Ok thank you I'll try from there