Question

Is it linear or not

Answer 1

Yes, the equation y = ∛8 - x, which is equal to y = 2 - x is linear.

What is a linear function?

A linear function is a mathematical expression of the form y = mx + c representing a straight line with constant slope (m) and a y-intercept (c).

That is in a linear function, the highest power of x is 1.

The given function;

y = ∛8 - x

The given equation is simplified as follows;

`y = (8)^{(1)/(3) } - x`

The equation is simplified further as;

8 = 2 · 2 · 2

8 = 2³

`y = (2^3)^{(1)/(3) } - x`

y = 2 - x

Thus, we can conclude that the given function y = ∛8 - x is a linear function.