Question

What is the range of the following function ?

Graph including points (negative 2, 7), (negative 1, 0), (0, negative 5), (1, negative 8), (2, negative 9), (3, negative 8), (4, negative 5), (5, 0), (6, 7).

Answer 1

it would be nice to know how to find it step by step that way i dont have to ask again =w=

Answer 2

Have you noticed the - and _ key in your keyboard above the P key?
You can write -2 instead of negative 2. It's much faster and easier to read.

Answer 3

To answer your question.
The range of a function is the set of all the values used in the y-coordinate.

Answer 4

@mathstudent55 oh sorry

Answer 5

so that would be 7, 0, -5, -8, -9, -8, -5, 0 and 7?

Answer 6

These are the points you wrote above.

\((-2, 7), (-1, 0), (0, -5), (1, -8), (2, -9), (3, -8), (4, -5), (5, 0), (6, 7) \)

Answer 7

In this case, those individual points are not important.
You want the range of the entire function.
What are all the y-coordinates that this function uses?

Answer 8

From the graph, it looks like the lowest y-coordinate is -9 from the point (2, -9) which is the vertex of the parabola.

Answer 9

As the two branches of the parabola go up, y in each ordered pair can take any number that is greater than -9.

Answer 10

That means the range is all real numbers greater than or equal to 9.

Range: \( \{All ~y, such ~that ~y \ge -9 \} \)