Question

Determine whether the formula describes y as a function of x. Explain your reasoning.

Answer 1

Step-by-step explanation:

$y=-3x^2-7x-6$

Given equation is a quadratic .

For each value of x  we will get the value of y (output)

The graph of quadratic is a U shaped parabola.

For each x value there will be output y. the value of x is not repeated.

The graph  of quadratic reach minimum at one point and then it goes up.

When we draw vertical line in the graph of U shaped parabola, the line crosses the graph at only one point.

So the y is a function of x

The given formula describes y as a function of x

Answer 2

This is a parabola  with a maximum value 

the graph will pass the vertical line test 

so it is a function