Question

Determine whether the equation defines y as a function of x.

y = 2x² - 3x + 4

Answer 1

Step 1:

The equation is .

To determine whether the equation , which defines the quadratic expression is a function.

The equation tells us to take an input .

For any value of , we get only one value for .

Step 2:

Consider .

Substitute in .

Consider .

Substitute in .

For two different values of , we get two different values for .

Hence, the equation defines as a function of .

Solution :
The equation defines as a function of .