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

[screamtrumpet]

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?

 

[nietzsche]

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.

 

[Mark44]

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?

 

[screamtrumpet]

so do you plug in c?

 

[Mark44]

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.

 

[screamtrumpet]

it looks like it intercepts injb 3 places

 

[Mark44]

Looks like 2 to me.