Answer:
Explanation:
Yes, the equation y=-3x^2+5 represents a function. To determine this mathematically, let's start by looking at the left-hand side of the equation and see if this follows the definition of a function. According to the definition of a function, for every given x-value there must be exactly one corresponding y-value. Therefore, we can take two different x-values, plug them into the equation, and see if there is one corresponding y-value.
For example, let's take x=2 and plug this into the equation:
y=-3(2)^2 + 5
y=-12+5
y=-7
Let's now take x=4 and plug this into the equation:
y=-3(4)^2 + 5
y=-48+5
y=-43
Since for both x=2 and x=4 there is exactly one corresponding y-value, we can conclude that the equation y=-3x^2+5 does represent a function.