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Which adjustment would turn the equation y = 2x^3 - 4 into a linear function?

A. Take 2 out of the equation.
B. Take -4 out of the equation.
C. Change the exponent from 3 to 2.
D. Change the exponent from 3 to 1.

Please select the correct option from A, B, C, or D.

User Amit Teli
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1 Answer

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Final answer:

To turn the equation y = 2x^3 - 4 into a linear function, the exponent on the variable x needs to be changed from 3 to 1. Option D (Change the exponent from 3 to 1) is the correct adjustment that will result in a linear function y = 2x - 4.

Step-by-step explanation:

The student asks which adjustment would turn the equation y = 2x^3 - 4 into a linear function. A linear function is of the form y = mx + b, where m and b are constants, and x is the variable raised to the power of 1. Therefore, to convert the given cubic equation into a linear function, the exponent of x must be changed.

The correct option is:
D. Change the exponent from 3 to 1.

Adjusting the equation from y = 2x^3 - 4 to y = 2x^1 - 4, or simply y = 2x - 4, changes the equation to linear form because the variable x is now to the first power, which is characteristic of linear equations.

User ZagNut
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