Ohm’s Law is represented by the equation I=V/R. Explain how the current would change if the amount of resistance decreased and the voltage stayed the same. (HINT: try plugging numbers into the equation for R, but make sure V stays the same. Then describe what happens to I(current)

Explanation:

The current will increase if the resistance is decreased and the voltage is kept constant. This is clearly seen from the mathematical relationship itself.

This mathematical representation means that current I is inversely proportional to resistance R as long as V remains constant. By interpretation, if R increases I will decrease and vice-versa.

Let us assume a constant value of V = 5V and plug in different values of R, say R = 10, 5, 2 and 1 Ohms.

When R = 10 Ohm

When R = 5 Ohms

When R = 2 Ohms

When R = 1 Ohm

It will be observed that as resistance decreases, current increases.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

friction

explanation:

they us to move forward and backwards