Question

The function table below represents the linear function y = 4x – 3. Which answer represents the outputs of the function table

Answer 1

Here we can not see the options, so i will answer in a general way.

When we have a function y = f(x), we define:

x as the input

y as the output.

so f(x) is some kind of "machine", in wich we put an input x, and the "machine" does something and returns an output y.

In, this case, we have:

y = f(x) = 4*x - 3

then if we give this function different inputs, we will get different ouputs.

for example, if we use the input x = 0, then the output is:

y = f(0) = 4*0 - 3 = -3

Then if we made a table for inputs and outputs, we will have the data:

`\left[\begin{array}{ccc}inp&out\\x&y\\0&-3\end{array}\right]`

We can rewrite this table in a general way as:

`\left[\begin{array}{ccc}inp&out\\x&4*x - 3\end{array}\right]`

This means that for every input x, the output is always 4*x - 3.

To complete this type of tables, we usually use different values of x, for example here I will use some different ones:

y = f(3) = 4*3 - 3 = 12 - 3 = 9

y = f(10) = 4*10 - 3 = 40 - 3 = 37

y = f(-1) = 4*-1 - 3 = -4 - 3 = -7

Then we will have a table like:

`\left[\begin{array}{ccc}inp&out\\3&9\\10&37\\-1&-7\end{array}\right]`

Concluding, the thing that will always represent the output of our function is: 4*x - 3.