Question

How do you graph `y=4absx` using a table?

Answer 1

Explanation:

Using a table for a function is the simplest way to find out roughly `5` key points to get a general idea of how a function works.

Remember, when using an absolute value function, our `y` values will always be positive, due to the conditions `|x|`

Since there are no horizontal shifts, it's a good idea to get two points left of the vertex, and right of the vertex, which is the origin `(0, 0):`

`f(-2)=4|-2| " becomes " f(-2)=4(2)=color(blue)8`
`f(-1)=4|-1| " becomes " f(-2)=4(1)=color(blue)4`
`f(0)=4|-0| " becomes " f(-2)=4(0)=color(blue)0`
`f(1)=4|1| " becomes " f(-2)=4(1)=color(blue)4`
`f(2)=4|2| " becomes " f(-2)=4(2)=color(blue)8`