How Many Real Solutions Does the Function f(x)=1.1x^4-6.7x^2+7.9x-2 Have?

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Homework Help Overview

The discussion revolves around determining the number of real solutions for the equation f(c) = 0, where f(x) is defined as f(x) = 1.1x^4 - 6.7x^2 + 7.9x - 2. Participants are exploring the behavior of this polynomial function and its graphical representation.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to find values of c such that f(c) = 0, with some initially attempting to evaluate f(0) instead. Questions arise about the correct approach to finding the number of solutions, including whether to analyze the graph for x-intercepts.

Discussion Status

The conversation is ongoing, with participants providing guidance on focusing on the graph to identify x-intercepts. There are differing opinions on the number of intercepts observed, indicating multiple interpretations of the function's behavior.

Contextual Notes

Some participants express confusion about the initial attempts to substitute specific values into the function, highlighting a potential misunderstanding of the problem's requirements.

screamtrumpet
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Homework Statement


The graph of f(x)=1.1x^4-6.7x^2+7.9x-2 satisfies the equation f(c)=0 for how many real values of c?




Homework Equations





The Attempt at a Solution


1.1(0*^4)-.7(0)^2+7.9(o)-2
1 real value of c?
 
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You can't sub in 0. You're looking for numbers c such that f(c) = 0, not what the values of f(0) are.
 
screamtrumpet said:

Homework Statement


The graph of f(x)=1.1x^4-6.7x^2+7.9x-2 satisfies the equation f(c)=0 for how many real values of c?

The Attempt at a Solution


1.1(0*^4)-.7(0)^2+7.9(o)-2
1 real value of c?
They didn't ask for f(0), which is what you calculated. The question is, how many solutions are there for the equation f(c) = 0?
 
so do you plug in c?
 
You can't plug in c - you don't know what c is. I suspect that they intend for you to look at the graph of this function and see how many x-intercepts there are.
 
it looks like it intercepts injb 3 places
 

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