Precalculus Examples

Determine if (0,3) is a Solution
,
Step 1
Insert the values of and into the equation to find if the ordered pair is a solution.
Step 2
Subtract from .
Step 3
The inequality is never true.
No solution
Step 4
Identify the leading coefficient.
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Step 4.1
The leading term in a polynomial is the term with the highest degree.
Step 4.2
The leading coefficient in a polynomial is the coefficient of the leading term.
Step 5
Since there are no real x-intercepts and the leading coefficient is negative, the parabola opens down and is always less than .
No solution
Step 6
Since the equation is not true when the values are used, the ordered pair is not a solution.
The ordered pair is not a solution to the equation.
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