Question

The graph of an absolute value function contains the points (1, 2), (0, 0), and (–1, 2). Shawn thinks the function this graph represents is f(x) = 2|–x|. Brielle thinks the function this graph represents is f(x) = 2|x|. Determine who is correct and explain why.

Answer 1

Both Shawn and Brielle are correct. The absolute value parent function is symmetric with respect to the y-axis, and the absolute value of negative x is a reflection across the y-axis, so the graph of these two functions would look identical. Additionally, if you wanted to verify that the given points are on the graph of both functions, you could substitute them into the functions to get true statements.

Explanation:

Sample Answer on Edge

Answer 2

Shawn and Brielle are correct, since absolute has the following property:
`|a| = |-a|`,
`a\in \mathbb{R}`

Explanation:

Both Shawn and Brielle are correct, because the absolute value has the following property:

`|a| = |-a|`,
`a\in \mathbb{R}`

Which means that
`|x|` and
`|-x|` gives the same result.