Positive and Negative Domains: Comparisons to zero or between parabolas

Examples with solutions for Positive and Negative Domains: Comparisons to zero or between parabolas

Exercise #1

The following function is graphed below:

f(x)=2x2+4x6 f(x)=-2x^2+4x-6

For which values of x is
f(x)<0 true?

Video Solution

Answer

For all values of x

Exercise #2

The following function is graphed below:

y=x26x+8 y=x^2-6x+8

For which values of x is

f(x)>0 true?

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Video Solution

Answer

2 < x , x < 4

Exercise #3

The following function is graphed below:

y=x2+5x+6 y=-x^2+5x+6

For which values of x is

f(x)>0 true?

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Video Solution

Answer

-1 < x < 6

Exercise #4

The following function is graphed below:

y=x2+5x+6 y=-x^2+5x+6

For which values of x is

f(x)<0 true?

BBBAAACCCOOO

Video Solution

Answer

Answers (a) and (b)

Exercise #5

The following function is graphed below:

y=x26x+8 y=x^2-6x+8

For which values of x is

f(x)<0 true?

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Video Solution

Answer

2 < x < 4

Exercise #6

The following function is graphed below:

f(x)=2x2+4x6 f(x)=-2x^2+4x-6

For which values of x is

f(x)>0 true?

Video Solution

Answer

No answer