# How do you find the range of # f(x) = -x^2 + 3#?

##### 3 Answers

#### Explanation:

Since this function is quadratic, its graph is a parabola and it either has a minimum or a maximum value for

The number

Luckily, the function

First, let's look at

Next, we look at

The range will then be

#### Explanation:

The given function represents a parabola opening downwards with vertex at (0,3). Hence its range would be

I found:

#### Explanation:

This function is represented graphically by a downwards parabola; this is because the

To find the range (= possible

The

where the coefficients

so:

giving for

So the range (= possible

Graphically:

graph{-x^2+3 [-10, 10, -5, 5]}