Question

The table represents a function.

A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 1, 3, 5. The second column is labeled f of x with entries negative 2, 5, 4, negative 8.
What is f(5)?

–8
–1
1
8

Answer 1

-8

Explanation:

The given table is

x f(x)

-4 -2

-1 5

3 4

5 -8

So, when we express
`f(5)`, it refers to the image assigned for
`x=5`.

In the given table, you can observe that they image assigned to
`x=5`, it's
`-8`. In other words,

`f(5)=-8`

Because the given table represents a function that relates
`y=-8` to
`x=5`.

Therefore, the right answer is the first choice -8.

Answer 2

-8

Explanation:

You are given the following table representing the function f(x):

`\begin{array}{cc}x&f(x)\\-4&-2\\-1&5\\3&4\\5&-8\end{array}`

This means

`f(-4)=-2\\ \\f(-1)=5\\ \\f(3)=4\\ \\f(5)=-8`

Hence,

f(5)=-8