Question

x
negative 8
negative 4
negative 6
2
9
16
20
y equals f left parenthesis x right parenthesis
5
6
7
3
13
14
15

what is the range

Answer 1

To determine the range of the function \( y = f(x) \), we need to identify the set of output values (y-values) corresponding to the given input values (x-values).

From the provided data, we have:

- For \( x = -8 \), \( y = 5 \)
- For \( x = -4 \), \( y = 6 \)
- For \( x = -6 \), \( y = 7 \)
- For \( x = 2 \), \( y = 3 \)
- For \( x = 9 \), \( y = 13 \)
- For \( x = 16 \), \( y = 14 \)
- For \( x = 20 \), \( y = 15 \)

Now, listing the corresponding y-values:

- \( 5, 6, 7, 3, 13, 14, 15 \)

Now, we compile these y-values into a single set to find the range:

Range = \( \{ 3, 5, 6, 7, 13, 14, 15 \} \)

Thus, the range of the function \( y = f(x) \) is \( \{ 3, 5, 6, 7, 13, 14, 15 \} \).