Take the second derivative, set that equal to zero, and solve for x. All the possible x's you get from that are the x coordinates for the inflection points. To get the y coordinates, plug the x's back into the original equation and solve for y. I say x's because sometimes there will be multiple outputs. But since you're dealing with an equation to the third power, the second derivative's power will only be to the first, giving you only one x (one inflection point).
-- If the equation has only one variable (like 'x' or 'y'), and the only power of the variable anywhere in the equation is '1', then the equation has one solution. -- If the variable appears raised to powers higher than '1', then there are as many solutions as the highest power of the variable. -- If the equation has two or more variables, then there are an infinite number of solutions.
Any variable in a linear equation is to the first power.The exponent is normally not written.
Equations can be classified according to the highest power of the variable. Since the highest power of the variable in a linear equation is one, it is also called a first-order equation.
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An equation where some variable is raised to the second power.
A quadratic equation.
-- If the equation has only one variable (like 'x' or 'y'), and the only power of the variable anywhere in the equation is '1', then the equation has one solution. -- If the variable appears raised to powers higher than '1', then there are as many solutions as the highest power of the variable. -- If the equation has two or more variables, then there are an infinite number of solutions.
Any variable in a linear equation is to the first power.The exponent is normally not written.
Equations can be classified according to the highest power of the variable. Since the highest power of the variable in a linear equation is one, it is also called a first-order equation.
x is a variable. You need to find the variable to complete the equation. ex. x = 1 x to the power of 5 (1x5x5x5x5x5)
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An equation is linear if the highest power of the unknown in the equation is 1for example an equation with just a variable to the power one such as x, y and so on is linear but one with x2, y2 and above is not linear
An exponential equation.
An equation where some variable is raised to the second power.
Linear Equation! I am in advanced honors algebra and I just did homework with this question.
A quadratic equation has two roots. They may be similar or dissimilar. As the highest power of a quadratic equation is 2 , there are 2 roots. Similarly, in the cubic equation, the highest power is 3, so it has three equal or unequal roots. So the highest power of an equation is the answer to the no of roots of that particular equation.
Neither variable appears anywhere in the equation in a denominator, or raised to any power except the first power.